\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  57.0 & -8.00 x_{1} & + 10.00 x_{2} & +  7.00 x_{3} & -9.00 x_{4} & +  8.00 x_{5} & -9.00 x_{6} & -6.00 x_{7} & +  1.00 x_{8} & -5.00 x_{9} & +  3.00 x_{10} & -6.00 x_{11} & +  4.00 x_{12} & -4.00 x_{13} & -2.00 x_{14} & -9.00 x_{15}\\
 x_{17}   &  58.0 & -5.00 x_{1} & -5.00 x_{2} & +  7.00 x_{3} & +  6.00 x_{4} & +  7.00 x_{5} & -10.00 x_{6} & +  1.00 x_{7} & -7.00 x_{8} & -2.00 x_{9} & -6.00 x_{10} & -7.00 x_{11} & +  2.00 x_{12} & -4.00 x_{13} & +  8.00 x_{14} & -9.00 x_{15}\\
 x_{18}   &  13.0 & + 10.00 x_{1} & -3.00 x_{2} & +  6.00 x_{3} & -7.00 x_{4} & -3.00 x_{5} & +  5.00 x_{6} & + 10.00 x_{7} & -5.00 x_{8} &   & -3.00 x_{10} & -1.00 x_{11} & -5.00 x_{12} & +  5.00 x_{13} & -9.00 x_{14} & +  6.00 x_{15}\\
 x_{19}   &  25.0 & -9.00 x_{1} & +  1.00 x_{2} & +  8.00 x_{3} & +  1.00 x_{4} & -3.00 x_{5} & -3.00 x_{6} & +  4.00 x_{7} & +  3.00 x_{8} & -6.00 x_{9} & +  5.00 x_{10} & +  6.00 x_{11} & -6.00 x_{12} & -9.00 x_{13} & +  4.00 x_{14} & -1.00 x_{15}\\
 x_{20}   &  50.0 & -3.00 x_{1} & +  7.00 x_{2} & -1.00 x_{3} & -7.00 x_{4} &   & -9.00 x_{6} & +  2.00 x_{7} & -4.00 x_{8} & -8.00 x_{9} & -7.00 x_{10} & +  5.00 x_{11} & +  3.00 x_{12} & +  6.00 x_{13} & + 10.00 x_{14} & -10.00 x_{15}\\
 x_{21}   &  -77.0 & +  4.00 x_{1} & + 10.00 x_{2} & +  9.00 x_{3} & +  7.00 x_{4} & +  3.00 x_{5} & +  4.00 x_{6} & + 10.00 x_{7} & +  3.00 x_{8} & +  6.00 x_{9} & +  6.00 x_{10} &   & -9.00 x_{12} & +  9.00 x_{13} & +  7.00 x_{14} & -8.00 x_{15}\\
 x_{22}   &  -38.0 & -2.00 x_{1} & +  8.00 x_{2} & -9.00 x_{3} & -3.00 x_{4} & +  7.00 x_{5} & +  5.00 x_{6} & -4.00 x_{7} & +  6.00 x_{8} & +  7.00 x_{9} & -6.00 x_{10} & -8.00 x_{11} & -1.00 x_{12} & -7.00 x_{13} & +  2.00 x_{14} & -2.00 x_{15}\\
 x_{23}   &  73.0 & -7.00 x_{1} & -1.00 x_{2} & +  4.00 x_{3} & -10.00 x_{4} & + 10.00 x_{5} & -9.00 x_{6} & -7.00 x_{7} & -10.00 x_{8} & -1.00 x_{9} & -3.00 x_{10} & +  8.00 x_{11} & -3.00 x_{12} & -7.00 x_{13} & -7.00 x_{14} & +  1.00 x_{15}\\
 x_{24}   &  16.0 & -4.00 x_{1} & -1.00 x_{2} & -2.00 x_{3} & -9.00 x_{4} & -6.00 x_{5} & +  4.00 x_{6} & -2.00 x_{7} & -4.00 x_{8} & +  3.00 x_{9} & -3.00 x_{10} & +  3.00 x_{11} & -7.00 x_{12} & + 10.00 x_{13} & +  2.00 x_{14} & -2.00 x_{15}\\
 x_{25}   &  -3.0 & +  5.00 x_{1} &   & +  6.00 x_{3} & -7.00 x_{4} & +  5.00 x_{5} & +  5.00 x_{6} & -8.00 x_{7} & +  8.00 x_{8} &   & +  8.00 x_{10} & -6.00 x_{11} & -6.00 x_{12} & -5.00 x_{13} & +  3.00 x_{14} & +  6.00 x_{15}\\
 x_{26}   &  -11.0 & -1.00 x_{1} & +  8.00 x_{2} & -4.00 x_{3} &   & -2.00 x_{5} & -1.00 x_{6} & -4.00 x_{7} & -3.00 x_{8} & +  7.00 x_{9} & +  8.00 x_{10} & +  1.00 x_{11} & -7.00 x_{12} & +  1.00 x_{13} & -2.00 x_{14} & +  8.00 x_{15}\\
 x_{27}   &  -25.0 & -10.00 x_{1} & +  7.00 x_{2} & -8.00 x_{3} & -8.00 x_{4} & +  9.00 x_{5} & +  8.00 x_{6} & -4.00 x_{7} & -7.00 x_{8} & +  9.00 x_{9} & +  4.00 x_{10} & +  5.00 x_{11} & -5.00 x_{12} & +  2.00 x_{13} &   & -9.00 x_{15}\\
 x_{28}   &  -9.0 & + 10.00 x_{1} & +  9.00 x_{2} & -7.00 x_{3} & +  3.00 x_{4} & -2.00 x_{5} & -2.00 x_{6} & -10.00 x_{7} & -6.00 x_{8} & +  7.00 x_{9} & +  9.00 x_{10} & +  2.00 x_{11} & -5.00 x_{12} & -5.00 x_{13} & -6.00 x_{14} & -2.00 x_{15}\\
 x_{29}   &  -58.0 & -5.00 x_{1} & +  9.00 x_{2} & +  3.00 x_{3} & +  2.00 x_{4} & +  3.00 x_{5} & +  6.00 x_{6} & +  5.00 x_{7} & +  4.00 x_{8} & +  8.00 x_{9} & -9.00 x_{10} & -9.00 x_{11} & -7.00 x_{12} & +  2.00 x_{13} & +  9.00 x_{14} & -1.00 x_{15}\\
 x_{30}   &  5.0 & -8.00 x_{1} & -6.00 x_{2} & -1.00 x_{3} & +  3.00 x_{4} & -5.00 x_{5} & -6.00 x_{6} & -5.00 x_{7} & -10.00 x_{8} & +  7.00 x_{9} & +  8.00 x_{10} & +  4.00 x_{11} & -9.00 x_{12} & -10.00 x_{13} & +  9.00 x_{14} & +  6.00 x_{15}\\
\hline
z    &  0.0 & +  2.00 x_{1} & -3.00 x_{2} & -4.00 x_{3} & -3.00 x_{4} & -3.00 x_{5} & -1.00 x_{6} & +  5.00 x_{7} & +  3.00 x_{8} & -2.00 x_{9} & +  4.00 x_{10} & -2.00 x_{11} & +  4.00 x_{12} & -2.00 x_{13} & -4.00 x_{14} & -3.00 x_{15}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,30$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  8.00 y_{16} & +  5.00 y_{17} & -10.00 y_{18} & +  9.00 y_{19} & +  3.00 y_{20} & -4.00 y_{21} & +  2.00 y_{22} & +  7.00 y_{23} & +  4.00 y_{24} & -5.00 y_{25} & +  1.00 y_{26} & + 10.00 y_{27} & -10.00 y_{28} & +  5.00 y_{29} & +  8.00 y_{30}\\
 y_{2}   &  1.0 & -10.00 y_{16} & +  5.00 y_{17} & +  3.00 y_{18} & -1.00 y_{19} & -7.00 y_{20} & -10.00 y_{21} & -8.00 y_{22} & +  1.00 y_{23} & +  1.00 y_{24} &   & -8.00 y_{26} & -7.00 y_{27} & -9.00 y_{28} & -9.00 y_{29} & +  6.00 y_{30}\\
 y_{3}   &  1.0 & -7.00 y_{16} & -7.00 y_{17} & -6.00 y_{18} & -8.00 y_{19} & +  1.00 y_{20} & -9.00 y_{21} & +  9.00 y_{22} & -4.00 y_{23} & +  2.00 y_{24} & -6.00 y_{25} & +  4.00 y_{26} & +  8.00 y_{27} & +  7.00 y_{28} & -3.00 y_{29} & +  1.00 y_{30}\\
 y_{4}   &  1.0 & +  9.00 y_{16} & -6.00 y_{17} & +  7.00 y_{18} & -1.00 y_{19} & +  7.00 y_{20} & -7.00 y_{21} & +  3.00 y_{22} & + 10.00 y_{23} & +  9.00 y_{24} & +  7.00 y_{25} &   & +  8.00 y_{27} & -3.00 y_{28} & -2.00 y_{29} & -3.00 y_{30}\\
 y_{5}   &  1.0 & -8.00 y_{16} & -7.00 y_{17} & +  3.00 y_{18} & +  3.00 y_{19} &   & -3.00 y_{21} & -7.00 y_{22} & -10.00 y_{23} & +  6.00 y_{24} & -5.00 y_{25} & +  2.00 y_{26} & -9.00 y_{27} & +  2.00 y_{28} & -3.00 y_{29} & +  5.00 y_{30}\\
 y_{6}   &  1.0 & +  9.00 y_{16} & + 10.00 y_{17} & -5.00 y_{18} & +  3.00 y_{19} & +  9.00 y_{20} & -4.00 y_{21} & -5.00 y_{22} & +  9.00 y_{23} & -4.00 y_{24} & -5.00 y_{25} & +  1.00 y_{26} & -8.00 y_{27} & +  2.00 y_{28} & -6.00 y_{29} & +  6.00 y_{30}\\
 y_{7}   &  1.0 & +  6.00 y_{16} & -1.00 y_{17} & -10.00 y_{18} & -4.00 y_{19} & -2.00 y_{20} & -10.00 y_{21} & +  4.00 y_{22} & +  7.00 y_{23} & +  2.00 y_{24} & +  8.00 y_{25} & +  4.00 y_{26} & +  4.00 y_{27} & + 10.00 y_{28} & -5.00 y_{29} & +  5.00 y_{30}\\
 y_{8}   &  1.0 & -1.00 y_{16} & +  7.00 y_{17} & +  5.00 y_{18} & -3.00 y_{19} & +  4.00 y_{20} & -3.00 y_{21} & -6.00 y_{22} & + 10.00 y_{23} & +  4.00 y_{24} & -8.00 y_{25} & +  3.00 y_{26} & +  7.00 y_{27} & +  6.00 y_{28} & -4.00 y_{29} & + 10.00 y_{30}\\
 y_{9}   &  1.0 & +  5.00 y_{16} & +  2.00 y_{17} &   & +  6.00 y_{19} & +  8.00 y_{20} & -6.00 y_{21} & -7.00 y_{22} & +  1.00 y_{23} & -3.00 y_{24} &   & -7.00 y_{26} & -9.00 y_{27} & -7.00 y_{28} & -8.00 y_{29} & -7.00 y_{30}\\
 y_{10}   &  1.0 & -3.00 y_{16} & +  6.00 y_{17} & +  3.00 y_{18} & -5.00 y_{19} & +  7.00 y_{20} & -6.00 y_{21} & +  6.00 y_{22} & +  3.00 y_{23} & +  3.00 y_{24} & -8.00 y_{25} & -8.00 y_{26} & -4.00 y_{27} & -9.00 y_{28} & +  9.00 y_{29} & -8.00 y_{30}\\
 y_{11}   &  1.0 & +  6.00 y_{16} & +  7.00 y_{17} & +  1.00 y_{18} & -6.00 y_{19} & -5.00 y_{20} &   & +  8.00 y_{22} & -8.00 y_{23} & -3.00 y_{24} & +  6.00 y_{25} & -1.00 y_{26} & -5.00 y_{27} & -2.00 y_{28} & +  9.00 y_{29} & -4.00 y_{30}\\
 y_{12}   &  1.0 & -4.00 y_{16} & -2.00 y_{17} & +  5.00 y_{18} & +  6.00 y_{19} & -3.00 y_{20} & +  9.00 y_{21} & +  1.00 y_{22} & +  3.00 y_{23} & +  7.00 y_{24} & +  6.00 y_{25} & +  7.00 y_{26} & +  5.00 y_{27} & +  5.00 y_{28} & +  7.00 y_{29} & +  9.00 y_{30}\\
 y_{13}   &  1.0 & +  4.00 y_{16} & +  4.00 y_{17} & -5.00 y_{18} & +  9.00 y_{19} & -6.00 y_{20} & -9.00 y_{21} & +  7.00 y_{22} & +  7.00 y_{23} & -10.00 y_{24} & +  5.00 y_{25} & -1.00 y_{26} & -2.00 y_{27} & +  5.00 y_{28} & -2.00 y_{29} & + 10.00 y_{30}\\
 y_{14}   &  1.0 & +  2.00 y_{16} & -8.00 y_{17} & +  9.00 y_{18} & -4.00 y_{19} & -10.00 y_{20} & -7.00 y_{21} & -2.00 y_{22} & +  7.00 y_{23} & -2.00 y_{24} & -3.00 y_{25} & +  2.00 y_{26} &   & +  6.00 y_{28} & -9.00 y_{29} & -9.00 y_{30}\\
 y_{15}   &  1.0 & +  9.00 y_{16} & +  9.00 y_{17} & -6.00 y_{18} & +  1.00 y_{19} & + 10.00 y_{20} & +  8.00 y_{21} & +  2.00 y_{22} & -1.00 y_{23} & +  2.00 y_{24} & -6.00 y_{25} & -8.00 y_{26} & +  9.00 y_{27} & +  2.00 y_{28} & +  1.00 y_{29} & -6.00 y_{30}\\
\hline
z    &  -0 & -57.00 y_{16} & -58.00 y_{17} & -13.00 y_{18} & -25.00 y_{19} & -50.00 y_{20} & + 77.00 y_{21} & + 38.00 y_{22} & -73.00 y_{23} & -16.00 y_{24} & +  3.00 y_{25} & + 11.00 y_{26} & + 25.00 y_{27} & +  9.00 y_{28} & + 58.00 y_{29} & -5.00 y_{30}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 8 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  0.64573856073 & + 20.47 y_{16} & -0.73 y_{17} & -0.36 y_{7} & +  8.06 y_{19} & -9.92 y_{20} & -1.06 y_{14} & +  0.43 y_{2} & + 19.61 y_{23} & +  1.78 y_{24} & +  0.89 y_{3} & +  7.68 y_{26} & + 11.50 y_{27} & +  0.86 y_{28} & +  3.85 y_{29} & +  0.46 y_{9}\\
 y_{21}   &  0.113067333403 & -0.17 y_{16} & -0.32 y_{17} & -0.03 y_{7} & -0.45 y_{19} & -0.59 y_{20} & -0.04 y_{14} & -0.03 y_{2} & +  0.40 y_{23} & +  0.05 y_{24} & -0.02 y_{3} & +  0.04 y_{26} & +  0.08 y_{27} & +  0.39 y_{28} & -0.78 y_{29} & -0.00 y_{9}\\
 y_{25}   &  0.00790591612552 & -1.23 y_{16} & +  0.14 y_{17} & +  0.08 y_{7} & +  0.11 y_{19} & +  0.87 y_{20} & +  0.05 y_{14} & -0.03 y_{2} & -1.19 y_{23} & +  0.00 y_{24} & -0.08 y_{3} & -0.59 y_{26} & -0.23 y_{27} & -1.09 y_{28} & +  0.10 y_{29} & -0.04 y_{9}\\
 y_{4}   &  0.311421328611 & -0.46 y_{16} & +  4.78 y_{17} & +  0.95 y_{7} & +  9.27 y_{19} & + 30.93 y_{20} & +  1.46 y_{14} & -0.13 y_{2} & -8.28 y_{23} & +  8.50 y_{24} & -0.63 y_{3} & -11.97 y_{26} & -0.35 y_{27} & -24.74 y_{28} & +  5.13 y_{29} & -0.96 y_{9}\\
 y_{5}   &  0.733085622345 & +  5.77 y_{16} & -13.62 y_{17} & -0.58 y_{7} & +  0.95 y_{19} & -1.07 y_{20} & -0.42 y_{14} & +  0.84 y_{2} & -2.92 y_{23} & +  5.46 y_{24} & +  0.26 y_{3} & + 12.00 y_{26} & -1.41 y_{27} & + 17.23 y_{28} & -0.01 y_{29} & +  0.17 y_{9}\\
 y_{6}   &  0.560509775324 & + 21.78 y_{16} & +  1.06 y_{17} & -0.54 y_{7} & -1.72 y_{19} & -3.25 y_{20} & -0.98 y_{14} & +  0.68 y_{2} & + 20.72 y_{23} & -4.71 y_{24} & +  0.60 y_{3} & + 12.94 y_{26} & +  0.26 y_{27} & + 19.99 y_{28} & -4.17 y_{29} & +  0.69 y_{9}\\
 y_{30}   &  0.0323992082509 & +  1.03 y_{16} & -0.38 y_{17} & -0.01 y_{7} & +  0.32 y_{19} & +  0.63 y_{20} & -0.03 y_{14} & +  0.06 y_{2} & +  0.25 y_{23} & -0.29 y_{24} & +  0.00 y_{3} & +  0.12 y_{26} & -0.13 y_{27} & +  0.32 y_{28} & -0.22 y_{29} & -0.06 y_{9}\\
 y_{8}   &  0.914655461796 & + 21.93 y_{16} & +  0.05 y_{17} & -0.83 y_{7} & -1.54 y_{19} & +  8.12 y_{20} & -0.47 y_{14} & +  1.23 y_{2} & + 20.05 y_{23} & +  1.68 y_{24} & +  0.46 y_{3} & + 13.19 y_{26} & + 12.58 y_{27} & + 22.93 y_{28} & -2.36 y_{29} & -0.30 y_{9}\\
 y_{18}   &  0.0148742345846 & +  0.23 y_{16} & +  0.52 y_{17} & +  0.01 y_{7} & +  0.66 y_{19} & +  1.80 y_{20} & +  0.09 y_{14} & +  0.02 y_{2} & -0.71 y_{23} & -0.07 y_{24} & -0.04 y_{3} & -0.52 y_{26} & -0.42 y_{27} & -0.77 y_{28} & +  0.15 y_{29} & -0.09 y_{9}\\
 y_{10}   &  0.125036172749 & -0.76 y_{16} & + 17.00 y_{17} & -0.23 y_{7} & +  1.74 y_{19} & +  9.98 y_{20} & +  0.63 y_{14} & -0.26 y_{2} & +  3.27 y_{23} & +  3.70 y_{24} & +  0.71 y_{3} & -13.00 y_{26} & -10.22 y_{27} & -17.50 y_{28} & + 13.54 y_{29} & +  0.04 y_{9}\\
 y_{11}   &  1.04105751757 & -6.71 y_{16} & + 17.35 y_{17} & +  0.80 y_{7} & +  1.37 y_{19} & +  7.56 y_{20} & +  0.95 y_{14} & -0.67 y_{2} & -20.52 y_{23} & -3.35 y_{24} & -0.41 y_{3} & -14.85 y_{26} & -16.07 y_{27} & -23.92 y_{28} & +  8.59 y_{29} & -0.72 y_{9}\\
 y_{12}   &  2.44454862196 & -2.63 y_{16} & -3.92 y_{17} & +  0.24 y_{7} & +  9.73 y_{19} & + 12.66 y_{20} & +  0.22 y_{14} & +  0.21 y_{2} & -2.30 y_{23} & +  4.34 y_{24} & -0.79 y_{3} & +  1.15 y_{26} & -0.12 y_{27} & -0.60 y_{28} & -0.88 y_{29} & -1.33 y_{9}\\
 y_{13}   &  0.366346031415 & +  7.33 y_{16} & +  7.78 y_{17} & +  0.80 y_{7} & + 19.88 y_{19} & +  8.03 y_{20} & +  0.28 y_{14} & +  0.35 y_{2} & +  0.33 y_{23} & -14.29 y_{24} & +  0.10 y_{3} & -8.65 y_{26} & -11.63 y_{27} & -8.54 y_{28} & +  0.82 y_{29} & -0.90 y_{9}\\
 y_{22}   &  0.0135430774039 & -0.18 y_{16} & +  0.94 y_{17} & +  0.03 y_{7} & +  0.92 y_{19} & +  1.01 y_{20} & +  0.06 y_{14} & -0.04 y_{2} & -0.45 y_{23} & -0.18 y_{24} & +  0.01 y_{3} & -1.16 y_{26} & -1.23 y_{27} & -1.66 y_{28} & -0.26 y_{29} & -0.08 y_{9}\\
 y_{15}   &  1.60054866826 & +  7.10 y_{16} & +  6.63 y_{17} & -0.66 y_{7} & -7.24 y_{19} & -12.51 y_{20} & -0.83 y_{14} & -0.63 y_{2} & + 11.23 y_{23} & +  4.18 y_{24} & +  0.54 y_{3} & -4.00 y_{26} & + 11.81 y_{27} & + 11.05 y_{28} & -5.97 y_{29} & +  0.99 y_{9}\\
\hline
z    &  8.88917827088 & -88.60 y_{16} & -51.49 y_{17} & -0.76 y_{7} & -34.21 y_{19} & -80.80 y_{20} & -1.43 y_{14} & -4.19 y_{2} & -54.95 y_{23} & -16.63 y_{24} & -0.80 y_{3} & -25.29 y_{26} & -10.14 y_{27} & -18.76 y_{28} & -12.43 y_{29} & -1.70 y_{9}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  88.5977590258 & -20.47 x_{1} & +  0.17 x_{21} & +  1.23 x_{25} & +  0.46 x_{4} & -5.77 x_{5} & -21.78 x_{6} & -1.03 x_{30} & -21.93 x_{8} & -0.23 x_{18} & +  0.76 x_{10} & +  6.71 x_{11} & +  2.63 x_{12} & -7.33 x_{13} & +  0.18 x_{22} & -7.10 x_{15}\\
 x_{17}   &  51.4856794496 & +  0.73 x_{1} & +  0.32 x_{21} & -0.14 x_{25} & -4.78 x_{4} & + 13.62 x_{5} & -1.06 x_{6} & +  0.38 x_{30} & -0.05 x_{8} & -0.52 x_{18} & -17.00 x_{10} & -17.35 x_{11} & +  3.92 x_{12} & -7.78 x_{13} & -0.94 x_{22} & -6.63 x_{15}\\
 x_{7}   &  0.764269426213 & +  0.36 x_{1} & +  0.03 x_{21} & -0.08 x_{25} & -0.95 x_{4} & +  0.58 x_{5} & +  0.54 x_{6} & +  0.01 x_{30} & +  0.83 x_{8} & -0.01 x_{18} & +  0.23 x_{10} & -0.80 x_{11} & -0.24 x_{12} & -0.80 x_{13} & -0.03 x_{22} & +  0.66 x_{15}\\
 x_{19}   &  34.2111446794 & -8.06 x_{1} & +  0.45 x_{21} & -0.11 x_{25} & -9.27 x_{4} & -0.95 x_{5} & +  1.72 x_{6} & -0.32 x_{30} & +  1.54 x_{8} & -0.66 x_{18} & -1.74 x_{10} & -1.37 x_{11} & -9.73 x_{12} & -19.88 x_{13} & -0.92 x_{22} & +  7.24 x_{15}\\
 x_{20}   &  80.7989026635 & +  9.92 x_{1} & +  0.59 x_{21} & -0.87 x_{25} & -30.93 x_{4} & +  1.07 x_{5} & +  3.25 x_{6} & -0.63 x_{30} & -8.12 x_{8} & -1.80 x_{18} & -9.98 x_{10} & -7.56 x_{11} & -12.66 x_{12} & -8.03 x_{13} & -1.01 x_{22} & + 12.51 x_{15}\\
 x_{14}   &  1.43181967257 & +  1.06 x_{1} & +  0.04 x_{21} & -0.05 x_{25} & -1.46 x_{4} & +  0.42 x_{5} & +  0.98 x_{6} & +  0.03 x_{30} & +  0.47 x_{8} & -0.09 x_{18} & -0.63 x_{10} & -0.95 x_{11} & -0.22 x_{12} & -0.28 x_{13} & -0.06 x_{22} & +  0.83 x_{15}\\
 x_{2}   &  4.19167120032 & -0.43 x_{1} & +  0.03 x_{21} & +  0.03 x_{25} & +  0.13 x_{4} & -0.84 x_{5} & -0.68 x_{6} & -0.06 x_{30} & -1.23 x_{8} & -0.02 x_{18} & +  0.26 x_{10} & +  0.67 x_{11} & -0.21 x_{12} & -0.35 x_{13} & +  0.04 x_{22} & +  0.63 x_{15}\\
 x_{23}   &  54.949867463 & -19.61 x_{1} & -0.40 x_{21} & +  1.19 x_{25} & +  8.28 x_{4} & +  2.92 x_{5} & -20.72 x_{6} & -0.25 x_{30} & -20.05 x_{8} & +  0.71 x_{18} & -3.27 x_{10} & + 20.52 x_{11} & +  2.30 x_{12} & -0.33 x_{13} & +  0.45 x_{22} & -11.23 x_{15}\\
 x_{24}   &  16.6321028811 & -1.78 x_{1} & -0.05 x_{21} & -0.00 x_{25} & -8.50 x_{4} & -5.46 x_{5} & +  4.71 x_{6} & +  0.29 x_{30} & -1.68 x_{8} & +  0.07 x_{18} & -3.70 x_{10} & +  3.35 x_{11} & -4.34 x_{12} & + 14.29 x_{13} & +  0.18 x_{22} & -4.18 x_{15}\\
 x_{3}   &  0.803116065331 & -0.89 x_{1} & +  0.02 x_{21} & +  0.08 x_{25} & +  0.63 x_{4} & -0.26 x_{5} & -0.60 x_{6} & -0.00 x_{30} & -0.46 x_{8} & +  0.04 x_{18} & -0.71 x_{10} & +  0.41 x_{11} & +  0.79 x_{12} & -0.10 x_{13} & -0.01 x_{22} & -0.54 x_{15}\\
 x_{26}   &  25.2883016364 & -7.68 x_{1} & -0.04 x_{21} & +  0.59 x_{25} & + 11.97 x_{4} & -12.00 x_{5} & -12.94 x_{6} & -0.12 x_{30} & -13.19 x_{8} & +  0.52 x_{18} & + 13.00 x_{10} & + 14.85 x_{11} & -1.15 x_{12} & +  8.65 x_{13} & +  1.16 x_{22} & +  4.00 x_{15}\\
 x_{27}   &  10.1444093328 & -11.50 x_{1} & -0.08 x_{21} & +  0.23 x_{25} & +  0.35 x_{4} & +  1.41 x_{5} & -0.26 x_{6} & +  0.13 x_{30} & -12.58 x_{8} & +  0.42 x_{18} & + 10.22 x_{10} & + 16.07 x_{11} & +  0.12 x_{12} & + 11.63 x_{13} & +  1.23 x_{22} & -11.81 x_{15}\\
 x_{28}   &  18.7577293931 & -0.86 x_{1} & -0.39 x_{21} & +  1.09 x_{25} & + 24.74 x_{4} & -17.23 x_{5} & -19.99 x_{6} & -0.32 x_{30} & -22.93 x_{8} & +  0.77 x_{18} & + 17.50 x_{10} & + 23.92 x_{11} & +  0.60 x_{12} & +  8.54 x_{13} & +  1.66 x_{22} & -11.05 x_{15}\\
 x_{29}   &  12.4285284347 & -3.85 x_{1} & +  0.78 x_{21} & -0.10 x_{25} & -5.13 x_{4} & +  0.01 x_{5} & +  4.17 x_{6} & +  0.22 x_{30} & +  2.36 x_{8} & -0.15 x_{18} & -13.54 x_{10} & -8.59 x_{11} & +  0.88 x_{12} & -0.82 x_{13} & +  0.26 x_{22} & +  5.97 x_{15}\\
 x_{9}   &  1.69830190645 & -0.46 x_{1} & +  0.00 x_{21} & +  0.04 x_{25} & +  0.96 x_{4} & -0.17 x_{5} & -0.69 x_{6} & +  0.06 x_{30} & +  0.30 x_{8} & +  0.09 x_{18} & -0.04 x_{10} & +  0.72 x_{11} & +  1.33 x_{12} & +  0.90 x_{13} & +  0.08 x_{22} & -0.99 x_{15}\\
\hline
z    &  -8.88917827088 & -0.65 x_{1} & -0.11 x_{21} & -0.01 x_{25} & -0.31 x_{4} & -0.73 x_{5} & -0.56 x_{6} & -0.03 x_{30} & -0.91 x_{8} & -0.01 x_{18} & -0.13 x_{10} & -1.04 x_{11} & -2.44 x_{12} & -0.37 x_{13} & -0.01 x_{22} & -1.60 x_{15}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  88.5977590258 & -20.47 x_{1} & +  0.17 x_{21} & +  1.23 x_{25} & +  0.46 x_{4} & -5.77 x_{5} & -21.78 x_{6} & -1.03 x_{30} & -21.93 x_{8} & -0.23 x_{18} & +  0.76 x_{10} & +  6.71 x_{11} & +  2.63 x_{12} & -7.33 x_{13} & +  0.18 x_{22} & -7.10 x_{15}\\
 x_{17}   &  51.4856794496 & +  0.73 x_{1} & +  0.32 x_{21} & -0.14 x_{25} & -4.78 x_{4} & + 13.62 x_{5} & -1.06 x_{6} & +  0.38 x_{30} & -0.05 x_{8} & -0.52 x_{18} & -17.00 x_{10} & -17.35 x_{11} & +  3.92 x_{12} & -7.78 x_{13} & -0.94 x_{22} & -6.63 x_{15}\\
 x_{7}   &  0.764269426213 & +  0.36 x_{1} & +  0.03 x_{21} & -0.08 x_{25} & -0.95 x_{4} & +  0.58 x_{5} & +  0.54 x_{6} & +  0.01 x_{30} & +  0.83 x_{8} & -0.01 x_{18} & +  0.23 x_{10} & -0.80 x_{11} & -0.24 x_{12} & -0.80 x_{13} & -0.03 x_{22} & +  0.66 x_{15}\\
 x_{19}   &  34.2111446794 & -8.06 x_{1} & +  0.45 x_{21} & -0.11 x_{25} & -9.27 x_{4} & -0.95 x_{5} & +  1.72 x_{6} & -0.32 x_{30} & +  1.54 x_{8} & -0.66 x_{18} & -1.74 x_{10} & -1.37 x_{11} & -9.73 x_{12} & -19.88 x_{13} & -0.92 x_{22} & +  7.24 x_{15}\\
 x_{20}   &  80.7989026635 & +  9.92 x_{1} & +  0.59 x_{21} & -0.87 x_{25} & -30.93 x_{4} & +  1.07 x_{5} & +  3.25 x_{6} & -0.63 x_{30} & -8.12 x_{8} & -1.80 x_{18} & -9.98 x_{10} & -7.56 x_{11} & -12.66 x_{12} & -8.03 x_{13} & -1.01 x_{22} & + 12.51 x_{15}\\
 x_{14}   &  1.43181967257 & +  1.06 x_{1} & +  0.04 x_{21} & -0.05 x_{25} & -1.46 x_{4} & +  0.42 x_{5} & +  0.98 x_{6} & +  0.03 x_{30} & +  0.47 x_{8} & -0.09 x_{18} & -0.63 x_{10} & -0.95 x_{11} & -0.22 x_{12} & -0.28 x_{13} & -0.06 x_{22} & +  0.83 x_{15}\\
 x_{2}   &  4.19167120032 & -0.43 x_{1} & +  0.03 x_{21} & +  0.03 x_{25} & +  0.13 x_{4} & -0.84 x_{5} & -0.68 x_{6} & -0.06 x_{30} & -1.23 x_{8} & -0.02 x_{18} & +  0.26 x_{10} & +  0.67 x_{11} & -0.21 x_{12} & -0.35 x_{13} & +  0.04 x_{22} & +  0.63 x_{15}\\
 x_{23}   &  54.949867463 & -19.61 x_{1} & -0.40 x_{21} & +  1.19 x_{25} & +  8.28 x_{4} & +  2.92 x_{5} & -20.72 x_{6} & -0.25 x_{30} & -20.05 x_{8} & +  0.71 x_{18} & -3.27 x_{10} & + 20.52 x_{11} & +  2.30 x_{12} & -0.33 x_{13} & +  0.45 x_{22} & -11.23 x_{15}\\
 x_{24}   &  16.6321028811 & -1.78 x_{1} & -0.05 x_{21} & -0.00 x_{25} & -8.50 x_{4} & -5.46 x_{5} & +  4.71 x_{6} & +  0.29 x_{30} & -1.68 x_{8} & +  0.07 x_{18} & -3.70 x_{10} & +  3.35 x_{11} & -4.34 x_{12} & + 14.29 x_{13} & +  0.18 x_{22} & -4.18 x_{15}\\
 x_{3}   &  0.803116065331 & -0.89 x_{1} & +  0.02 x_{21} & +  0.08 x_{25} & +  0.63 x_{4} & -0.26 x_{5} & -0.60 x_{6} & -0.00 x_{30} & -0.46 x_{8} & +  0.04 x_{18} & -0.71 x_{10} & +  0.41 x_{11} & +  0.79 x_{12} & -0.10 x_{13} & -0.01 x_{22} & -0.54 x_{15}\\
 x_{26}   &  25.2883016364 & -7.68 x_{1} & -0.04 x_{21} & +  0.59 x_{25} & + 11.97 x_{4} & -12.00 x_{5} & -12.94 x_{6} & -0.12 x_{30} & -13.19 x_{8} & +  0.52 x_{18} & + 13.00 x_{10} & + 14.85 x_{11} & -1.15 x_{12} & +  8.65 x_{13} & +  1.16 x_{22} & +  4.00 x_{15}\\
 x_{27}   &  10.1444093328 & -11.50 x_{1} & -0.08 x_{21} & +  0.23 x_{25} & +  0.35 x_{4} & +  1.41 x_{5} & -0.26 x_{6} & +  0.13 x_{30} & -12.58 x_{8} & +  0.42 x_{18} & + 10.22 x_{10} & + 16.07 x_{11} & +  0.12 x_{12} & + 11.63 x_{13} & +  1.23 x_{22} & -11.81 x_{15}\\
 x_{28}   &  18.7577293931 & -0.86 x_{1} & -0.39 x_{21} & +  1.09 x_{25} & + 24.74 x_{4} & -17.23 x_{5} & -19.99 x_{6} & -0.32 x_{30} & -22.93 x_{8} & +  0.77 x_{18} & + 17.50 x_{10} & + 23.92 x_{11} & +  0.60 x_{12} & +  8.54 x_{13} & +  1.66 x_{22} & -11.05 x_{15}\\
 x_{29}   &  12.4285284347 & -3.85 x_{1} & +  0.78 x_{21} & -0.10 x_{25} & -5.13 x_{4} & +  0.01 x_{5} & +  4.17 x_{6} & +  0.22 x_{30} & +  2.36 x_{8} & -0.15 x_{18} & -13.54 x_{10} & -8.59 x_{11} & +  0.88 x_{12} & -0.82 x_{13} & +  0.26 x_{22} & +  5.97 x_{15}\\
 x_{9}   &  1.69830190645 & -0.46 x_{1} & +  0.00 x_{21} & +  0.04 x_{25} & +  0.96 x_{4} & -0.17 x_{5} & -0.69 x_{6} & +  0.06 x_{30} & +  0.30 x_{8} & +  0.09 x_{18} & -0.04 x_{10} & +  0.72 x_{11} & +  1.33 x_{12} & +  0.90 x_{13} & +  0.08 x_{22} & -0.99 x_{15}\\
\hline
z    &  -21.0900132344 & +  5.30 x_{1} & -0.17 x_{21} & -0.69 x_{25} & -6.74 x_{4} & +  2.15 x_{5} & +  3.59 x_{6} & +  0.00 x_{30} & + 10.20 x_{8} & +  0.05 x_{18} & +  9.80 x_{10} & -7.27 x_{11} & -1.49 x_{12} & -5.24 x_{13} & -0.15 x_{22} & -0.81 x_{15}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  88.5977590258 & -20.47 x_{1} & +  0.17 x_{21} & +  1.23 x_{25} & +  0.46 x_{4} & -5.77 x_{5} & -21.78 x_{6} & -1.03 x_{30} & -21.93 x_{8} & -0.23 x_{18} & +  0.76 x_{10} & +  6.71 x_{11} & +  2.63 x_{12} & -7.33 x_{13} & +  0.18 x_{22} & -7.10 x_{15}\\
 x_{17}   &  51.4856794496 & +  0.73 x_{1} & +  0.32 x_{21} & -0.14 x_{25} & -4.78 x_{4} & + 13.62 x_{5} & -1.06 x_{6} & +  0.38 x_{30} & -0.05 x_{8} & -0.52 x_{18} & -17.00 x_{10} & -17.35 x_{11} & +  3.92 x_{12} & -7.78 x_{13} & -0.94 x_{22} & -6.63 x_{15}\\
 x_{7}   &  0.764269426213 & +  0.36 x_{1} & +  0.03 x_{21} & -0.08 x_{25} & -0.95 x_{4} & +  0.58 x_{5} & +  0.54 x_{6} & +  0.01 x_{30} & +  0.83 x_{8} & -0.01 x_{18} & +  0.23 x_{10} & -0.80 x_{11} & -0.24 x_{12} & -0.80 x_{13} & -0.03 x_{22} & +  0.66 x_{15}\\
 x_{19}   &  34.2111446794 & -8.06 x_{1} & +  0.45 x_{21} & -0.11 x_{25} & -9.27 x_{4} & -0.95 x_{5} & +  1.72 x_{6} & -0.32 x_{30} & +  1.54 x_{8} & -0.66 x_{18} & -1.74 x_{10} & -1.37 x_{11} & -9.73 x_{12} & -19.88 x_{13} & -0.92 x_{22} & +  7.24 x_{15}\\
 x_{20}   &  80.7989026635 & +  9.92 x_{1} & +  0.59 x_{21} & -0.87 x_{25} & -30.93 x_{4} & +  1.07 x_{5} & +  3.25 x_{6} & -0.63 x_{30} & -8.12 x_{8} & -1.80 x_{18} & -9.98 x_{10} & -7.56 x_{11} & -12.66 x_{12} & -8.03 x_{13} & -1.01 x_{22} & + 12.51 x_{15}\\
 x_{14}   &  1.43181967257 & +  1.06 x_{1} & +  0.04 x_{21} & -0.05 x_{25} & -1.46 x_{4} & +  0.42 x_{5} & +  0.98 x_{6} & +  0.03 x_{30} & +  0.47 x_{8} & -0.09 x_{18} & -0.63 x_{10} & -0.95 x_{11} & -0.22 x_{12} & -0.28 x_{13} & -0.06 x_{22} & +  0.83 x_{15}\\
 x_{2}   &  4.19167120032 & -0.43 x_{1} & +  0.03 x_{21} & +  0.03 x_{25} & +  0.13 x_{4} & -0.84 x_{5} & -0.68 x_{6} & -0.06 x_{30} & -1.23 x_{8} & -0.02 x_{18} & +  0.26 x_{10} & +  0.67 x_{11} & -0.21 x_{12} & -0.35 x_{13} & +  0.04 x_{22} & +  0.63 x_{15}\\
 x_{23}   &  54.949867463 & -19.61 x_{1} & -0.40 x_{21} & +  1.19 x_{25} & +  8.28 x_{4} & +  2.92 x_{5} & -20.72 x_{6} & -0.25 x_{30} & -20.05 x_{8} & +  0.71 x_{18} & -3.27 x_{10} & + 20.52 x_{11} & +  2.30 x_{12} & -0.33 x_{13} & +  0.45 x_{22} & -11.23 x_{15}\\
 x_{24}   &  16.6321028811 & -1.78 x_{1} & -0.05 x_{21} & -0.00 x_{25} & -8.50 x_{4} & -5.46 x_{5} & +  4.71 x_{6} & +  0.29 x_{30} & -1.68 x_{8} & +  0.07 x_{18} & -3.70 x_{10} & +  3.35 x_{11} & -4.34 x_{12} & + 14.29 x_{13} & +  0.18 x_{22} & -4.18 x_{15}\\
 x_{3}   &  0.803116065331 & -0.89 x_{1} & +  0.02 x_{21} & +  0.08 x_{25} & +  0.63 x_{4} & -0.26 x_{5} & -0.60 x_{6} & -0.00 x_{30} & -0.46 x_{8} & +  0.04 x_{18} & -0.71 x_{10} & +  0.41 x_{11} & +  0.79 x_{12} & -0.10 x_{13} & -0.01 x_{22} & -0.54 x_{15}\\
 x_{26}   &  25.2883016364 & -7.68 x_{1} & -0.04 x_{21} & +  0.59 x_{25} & + 11.97 x_{4} & -12.00 x_{5} & -12.94 x_{6} & -0.12 x_{30} & -13.19 x_{8} & +  0.52 x_{18} & + 13.00 x_{10} & + 14.85 x_{11} & -1.15 x_{12} & +  8.65 x_{13} & +  1.16 x_{22} & +  4.00 x_{15}\\
 x_{27}   &  10.1444093328 & -11.50 x_{1} & -0.08 x_{21} & +  0.23 x_{25} & +  0.35 x_{4} & +  1.41 x_{5} & -0.26 x_{6} & +  0.13 x_{30} & -12.58 x_{8} & +  0.42 x_{18} & + 10.22 x_{10} & + 16.07 x_{11} & +  0.12 x_{12} & + 11.63 x_{13} & +  1.23 x_{22} & -11.81 x_{15}\\
 x_{28}   &  18.7577293931 & -0.86 x_{1} & -0.39 x_{21} & +  1.09 x_{25} & + 24.74 x_{4} & -17.23 x_{5} & -19.99 x_{6} & -0.32 x_{30} & -22.93 x_{8} & +  0.77 x_{18} & + 17.50 x_{10} & + 23.92 x_{11} & +  0.60 x_{12} & +  8.54 x_{13} & +  1.66 x_{22} & -11.05 x_{15}\\
 x_{29}   &  12.4285284347 & -3.85 x_{1} & +  0.78 x_{21} & -0.10 x_{25} & -5.13 x_{4} & +  0.01 x_{5} & +  4.17 x_{6} & +  0.22 x_{30} & +  2.36 x_{8} & -0.15 x_{18} & -13.54 x_{10} & -8.59 x_{11} & +  0.88 x_{12} & -0.82 x_{13} & +  0.26 x_{22} & +  5.97 x_{15}\\
 x_{9}   &  1.69830190645 & -0.46 x_{1} & +  0.00 x_{21} & +  0.04 x_{25} & +  0.96 x_{4} & -0.17 x_{5} & -0.69 x_{6} & +  0.06 x_{30} & +  0.30 x_{8} & +  0.09 x_{18} & -0.04 x_{10} & +  0.72 x_{11} & +  1.33 x_{12} & +  0.90 x_{13} & +  0.08 x_{22} & -0.99 x_{15}\\
\hline
z    &  -21.0900132344 & +  5.30 x_{1} & -0.17 x_{21} & -0.69 x_{25} & -6.74 x_{4} & +  2.15 x_{5} & +  3.59 x_{6} & +  0.00 x_{30} & + 10.20 x_{8} & +  0.05 x_{18} & +  9.80 x_{10} & -7.27 x_{11} & -1.49 x_{12} & -5.24 x_{13} & -0.15 x_{22} & -0.81 x_{15}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{27} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  70.551632057 & +  1.78 x_{27} & +  0.31 x_{21} & +  0.83 x_{25} & -0.16 x_{4} & -8.27 x_{5} & -21.31 x_{6} & -1.26 x_{30} & +  0.46 x_{8} & -0.97 x_{18} & -17.42 x_{10} & -21.88 x_{11} & +  2.43 x_{12} & -28.02 x_{13} & -2.00 x_{22} & + 13.91 x_{15}\\
 x_{17}   &  52.1271892344 & -0.06 x_{27} & +  0.32 x_{21} & -0.12 x_{25} & -4.75 x_{4} & + 13.71 x_{5} & -1.07 x_{6} & +  0.38 x_{30} & -0.85 x_{8} & -0.49 x_{18} & -16.35 x_{10} & -16.33 x_{11} & +  3.92 x_{12} & -7.04 x_{13} & -0.86 x_{22} & -7.38 x_{15}\\
 x_{7}   &  1.08095857442 & -0.03 x_{27} & +  0.03 x_{21} & -0.08 x_{25} & -0.94 x_{4} & +  0.63 x_{5} & +  0.53 x_{6} & +  0.01 x_{30} & +  0.44 x_{8} & +  0.01 x_{18} & +  0.55 x_{10} & -0.30 x_{11} & -0.24 x_{12} & -0.44 x_{13} & +  0.01 x_{22} & +  0.29 x_{15}\\
 x_{19}   &  27.1030058666 & +  0.70 x_{27} & +  0.50 x_{21} & -0.27 x_{25} & -9.51 x_{4} & -1.93 x_{5} & +  1.90 x_{6} & -0.41 x_{30} & + 10.36 x_{8} & -0.95 x_{18} & -8.90 x_{10} & -12.63 x_{11} & -9.81 x_{12} & -28.03 x_{13} & -1.78 x_{22} & + 15.51 x_{15}\\
 x_{20}   &  89.5432772478 & -0.86 x_{27} & +  0.52 x_{21} & -0.67 x_{25} & -30.64 x_{4} & +  2.28 x_{5} & +  3.03 x_{6} & -0.52 x_{30} & -18.97 x_{8} & -1.45 x_{18} & -1.18 x_{10} & +  6.30 x_{11} & -12.56 x_{12} & +  1.99 x_{13} & +  0.04 x_{22} & +  2.33 x_{15}\\
 x_{14}   &  2.36884951751 & -0.09 x_{27} & +  0.03 x_{21} & -0.03 x_{25} & -1.43 x_{4} & +  0.55 x_{5} & +  0.96 x_{6} & +  0.04 x_{30} & -0.69 x_{8} & -0.05 x_{18} & +  0.31 x_{10} & +  0.53 x_{11} & -0.21 x_{12} & +  0.79 x_{13} & +  0.06 x_{22} & -0.26 x_{15}\\
 x_{2}   &  3.81332563733 & +  0.04 x_{27} & +  0.03 x_{21} & +  0.02 x_{25} & +  0.11 x_{4} & -0.89 x_{5} & -0.67 x_{6} & -0.07 x_{30} & -0.76 x_{8} & -0.04 x_{18} & -0.12 x_{10} & +  0.07 x_{11} & -0.22 x_{12} & -0.79 x_{13} & -0.01 x_{22} & +  1.07 x_{15}\\
 x_{23}   &  37.6620409064 & +  1.70 x_{27} & -0.27 x_{21} & +  0.81 x_{25} & +  7.69 x_{4} & +  0.53 x_{5} & -20.27 x_{6} & -0.47 x_{30} & +  1.40 x_{8} & +  0.00 x_{18} & -20.68 x_{10} & -6.87 x_{11} & +  2.10 x_{12} & -20.14 x_{13} & -1.63 x_{22} & +  8.90 x_{15}\\
 x_{24}   &  15.0661415411 & +  0.15 x_{27} & -0.04 x_{21} & -0.04 x_{25} & -8.56 x_{4} & -5.67 x_{5} & +  4.75 x_{6} & +  0.27 x_{30} & +  0.26 x_{8} & +  0.00 x_{18} & -5.28 x_{10} & +  0.87 x_{11} & -4.36 x_{12} & + 12.50 x_{13} & -0.01 x_{22} & -2.36 x_{15}\\
 x_{3}   &  0.0220338767039 & +  0.08 x_{27} & +  0.03 x_{21} & +  0.06 x_{25} & +  0.60 x_{4} & -0.37 x_{5} & -0.58 x_{6} & -0.01 x_{30} & +  0.51 x_{8} & +  0.00 x_{18} & -1.49 x_{10} & -0.83 x_{11} & +  0.78 x_{12} & -0.99 x_{13} & -0.11 x_{22} & +  0.37 x_{15}\\
 x_{26}   &  18.51655467 & +  0.67 x_{27} & +  0.01 x_{21} & +  0.44 x_{25} & + 11.74 x_{4} & -12.94 x_{5} & -12.77 x_{6} & -0.21 x_{30} & -4.79 x_{8} & +  0.25 x_{18} & +  6.18 x_{10} & +  4.12 x_{11} & -1.23 x_{12} & +  0.89 x_{13} & +  0.34 x_{22} & + 11.88 x_{15}\\
 x_{1}   &  0.88178335652 & -0.09 x_{27} & -0.01 x_{21} & +  0.02 x_{25} & +  0.03 x_{4} & +  0.12 x_{5} & -0.02 x_{6} & +  0.01 x_{30} & -1.09 x_{8} & +  0.04 x_{18} & +  0.89 x_{10} & +  1.40 x_{11} & +  0.01 x_{12} & +  1.01 x_{13} & +  0.11 x_{22} & -1.03 x_{15}\\
 x_{28}   &  18.0022460824 & +  0.07 x_{27} & -0.39 x_{21} & +  1.08 x_{25} & + 24.72 x_{4} & -17.33 x_{5} & -19.97 x_{6} & -0.33 x_{30} & -21.99 x_{8} & +  0.74 x_{18} & + 16.74 x_{10} & + 22.72 x_{11} & +  0.59 x_{12} & +  7.67 x_{13} & +  1.57 x_{22} & -10.17 x_{15}\\
 x_{29}   &  9.0345847045 & +  0.33 x_{27} & +  0.81 x_{21} & -0.18 x_{25} & -5.24 x_{4} & -0.46 x_{5} & +  4.26 x_{6} & +  0.18 x_{30} & +  6.57 x_{8} & -0.29 x_{18} & -16.96 x_{10} & -13.97 x_{11} & +  0.84 x_{12} & -4.71 x_{13} & -0.15 x_{22} & +  9.92 x_{15}\\
 x_{9}   &  1.29162882391 & +  0.04 x_{27} & +  0.00 x_{21} & +  0.03 x_{25} & +  0.95 x_{4} & -0.22 x_{5} & -0.67 x_{6} & +  0.06 x_{30} & +  0.80 x_{8} & +  0.08 x_{18} & -0.45 x_{10} & +  0.07 x_{11} & +  1.33 x_{12} & +  0.44 x_{13} & +  0.03 x_{22} & -0.51 x_{15}\\
\hline
z    &  -16.4184085515 & -0.46 x_{27} & -0.20 x_{21} & -0.59 x_{25} & -6.59 x_{4} & +  2.80 x_{5} & +  3.47 x_{6} & +  0.06 x_{30} & +  4.41 x_{8} & +  0.25 x_{18} & + 14.50 x_{10} & +  0.13 x_{11} & -1.44 x_{12} & +  0.11 x_{13} & +  0.42 x_{22} & -6.24 x_{15}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  70.06272133 & +  0.07 x_{27} & -0.27 x_{21} & -0.53 x_{25} & -13.50 x_{4} & + 22.19 x_{3} & -8.40 x_{6} & -0.97 x_{30} & -10.85 x_{8} & -1.05 x_{18} & + 15.68 x_{10} & -3.48 x_{11} & -14.93 x_{12} & -6.02 x_{13} & +  0.40 x_{22} & +  5.63 x_{15}\\
 x_{17}   &  52.9379907066 & +  2.77 x_{27} & +  1.28 x_{21} & +  2.13 x_{25} & + 17.38 x_{4} & -36.80 x_{3} & -22.48 x_{6} & -0.09 x_{30} & + 17.90 x_{8} & -0.35 x_{18} & -71.25 x_{10} & -46.85 x_{11} & + 32.71 x_{12} & -43.53 x_{13} & -4.85 x_{22} & +  6.35 x_{15}\\
 x_{7}   &  1.11809094984 & +  0.10 x_{27} & +  0.07 x_{21} & +  0.03 x_{25} & +  0.07 x_{4} & -1.69 x_{3} & -0.45 x_{6} & -0.01 x_{30} & +  1.30 x_{8} & +  0.01 x_{18} & -1.96 x_{10} & -1.70 x_{11} & +  1.08 x_{12} & -2.11 x_{13} & -0.18 x_{22} & +  0.92 x_{15}\\
 x_{19}   &  26.9887595441 & +  0.30 x_{27} & +  0.36 x_{21} & -0.59 x_{25} & -12.63 x_{4} & +  5.19 x_{3} & +  4.92 x_{6} & -0.34 x_{30} & +  7.71 x_{8} & -0.97 x_{18} & -1.16 x_{10} & -8.33 x_{11} & -13.87 x_{12} & -22.89 x_{13} & -1.21 x_{22} & + 13.58 x_{15}\\
 x_{20}   &  89.6782548893 & -0.39 x_{27} & +  0.68 x_{21} & -0.29 x_{25} & -26.95 x_{4} & -6.13 x_{3} & -0.54 x_{6} & -0.60 x_{30} & -15.84 x_{8} & -1.42 x_{18} & -10.32 x_{10} & +  1.22 x_{11} & -7.77 x_{12} & -4.08 x_{13} & -0.62 x_{22} & +  4.61 x_{15}\\
 x_{14}   &  2.40133027515 & +  0.02 x_{27} & +  0.07 x_{21} & +  0.06 x_{25} & -0.54 x_{4} & -1.47 x_{3} & +  0.10 x_{6} & +  0.02 x_{30} & +  0.06 x_{8} & -0.04 x_{18} & -1.89 x_{10} & -0.69 x_{11} & +  0.94 x_{12} & -0.67 x_{13} & -0.10 x_{22} & +  0.29 x_{15}\\
 x_{2}   &  3.76053607082 & -0.15 x_{27} & -0.03 x_{21} & -0.13 x_{25} & -1.33 x_{4} & +  2.40 x_{3} & +  0.73 x_{6} & -0.03 x_{30} & -1.98 x_{8} & -0.05 x_{18} & +  3.46 x_{10} & +  2.06 x_{11} & -2.09 x_{12} & +  1.59 x_{13} & +  0.25 x_{22} & +  0.18 x_{15}\\
 x_{23}   &  37.6933462838 & +  1.81 x_{27} & -0.23 x_{21} & +  0.89 x_{25} & +  8.54 x_{4} & -1.42 x_{3} & -21.10 x_{6} & -0.49 x_{30} & +  2.12 x_{8} & +  0.01 x_{18} & -22.80 x_{10} & -8.05 x_{11} & +  3.21 x_{12} & -21.55 x_{13} & -1.79 x_{22} & +  9.43 x_{15}\\
 x_{24}   &  14.7305594213 & -1.02 x_{27} & -0.44 x_{21} & -0.97 x_{25} & -17.72 x_{4} & + 15.23 x_{3} & + 13.61 x_{6} & +  0.47 x_{30} & -7.50 x_{8} & -0.05 x_{18} & + 17.45 x_{10} & + 13.50 x_{11} & -16.28 x_{12} & + 27.60 x_{13} & +  1.65 x_{22} & -8.04 x_{15}\\
 x_{5}   &  0.0591386427917 & +  0.21 x_{27} & +  0.07 x_{21} & +  0.16 x_{25} & +  1.61 x_{4} & -2.68 x_{3} & -1.56 x_{6} & -0.03 x_{30} & +  1.37 x_{8} & +  0.01 x_{18} & -4.00 x_{10} & -2.23 x_{11} & +  2.10 x_{12} & -2.66 x_{13} & -0.29 x_{22} & +  1.00 x_{15}\\
 x_{26}   &  17.7514398262 & -2.01 x_{27} & -0.90 x_{21} & -1.69 x_{25} & -9.15 x_{4} & + 34.72 x_{3} & +  7.44 x_{6} & +  0.24 x_{30} & -22.48 x_{8} & +  0.12 x_{18} & + 57.98 x_{10} & + 32.92 x_{11} & -28.39 x_{12} & + 35.32 x_{13} & +  4.11 x_{22} & -1.08 x_{15}\\
 x_{1}   &  0.889008711871 & -0.06 x_{27} & +  0.00 x_{21} & +  0.04 x_{25} & +  0.23 x_{4} & -0.33 x_{3} & -0.21 x_{6} & +  0.01 x_{30} & -0.93 x_{8} & +  0.04 x_{18} & +  0.40 x_{10} & +  1.13 x_{11} & +  0.27 x_{12} & +  0.69 x_{13} & +  0.07 x_{22} & -0.90 x_{15}\\
 x_{28}   &  16.9772049279 & -3.51 x_{27} & -1.61 x_{21} & -1.78 x_{25} & -3.26 x_{4} & + 46.52 x_{3} & +  7.09 x_{6} & +  0.27 x_{30} & -45.69 x_{8} & +  0.56 x_{18} & + 86.14 x_{10} & + 61.29 x_{11} & -35.81 x_{12} & + 53.80 x_{13} & +  6.62 x_{22} & -27.53 x_{15}\\
 x_{29}   &  9.00758035391 & +  0.24 x_{27} & +  0.78 x_{21} & -0.25 x_{25} & -5.98 x_{4} & +  1.23 x_{3} & +  4.97 x_{6} & +  0.19 x_{30} & +  5.95 x_{8} & -0.29 x_{18} & -15.13 x_{10} & -12.95 x_{11} & -0.11 x_{12} & -3.49 x_{13} & -0.02 x_{22} & +  9.46 x_{15}\\
 x_{9}   &  1.27849451525 & -0.01 x_{27} & -0.01 x_{21} & -0.01 x_{25} & +  0.59 x_{4} & +  0.60 x_{3} & -0.33 x_{6} & +  0.06 x_{30} & +  0.50 x_{8} & +  0.07 x_{18} & +  0.44 x_{10} & +  0.57 x_{11} & +  0.86 x_{12} & +  1.03 x_{13} & +  0.10 x_{22} & -0.74 x_{15}\\
\hline
z    &  -16.252862099 & +  0.12 x_{27} & -0.00 x_{21} & -0.13 x_{25} & -2.07 x_{4} & -7.51 x_{3} & -0.90 x_{6} & -0.04 x_{30} & +  8.23 x_{8} & +  0.27 x_{18} & +  3.30 x_{10} & -6.10 x_{11} & +  4.44 x_{12} & -7.34 x_{13} & -0.40 x_{22} & -3.44 x_{15}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{28} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  66.0326804906 & +  0.90 x_{27} & +  0.11 x_{21} & -0.11 x_{25} & -12.73 x_{4} & + 11.15 x_{3} & -10.09 x_{6} & -1.04 x_{30} & +  0.24 x_{28} & -1.19 x_{18} & -4.77 x_{10} & -18.03 x_{11} & -6.43 x_{12} & -18.79 x_{13} & -1.17 x_{22} & + 12.16 x_{15}\\
 x_{17}   &  59.5888157341 & +  1.40 x_{27} & +  0.65 x_{21} & +  1.44 x_{25} & + 16.10 x_{4} & -18.57 x_{3} & -19.70 x_{6} & +  0.01 x_{30} & -0.39 x_{28} & -0.13 x_{18} & -37.51 x_{10} & -22.84 x_{11} & + 18.69 x_{12} & -22.45 x_{13} & -2.26 x_{22} & -4.43 x_{15}\\
 x_{7}   &  1.60056949633 & -0.00 x_{27} & +  0.02 x_{21} & -0.02 x_{25} & -0.02 x_{4} & -0.36 x_{3} & -0.24 x_{6} & -0.00 x_{30} & -0.03 x_{28} & +  0.03 x_{18} & +  0.49 x_{10} & +  0.05 x_{11} & +  0.06 x_{12} & -0.58 x_{13} & +  0.01 x_{22} & +  0.14 x_{15}\\
 x_{19}   &  29.8550046931 & -0.29 x_{27} & +  0.09 x_{21} & -0.89 x_{25} & -13.18 x_{4} & + 13.04 x_{3} & +  6.11 x_{6} & -0.30 x_{30} & -0.17 x_{28} & -0.87 x_{18} & + 13.38 x_{10} & +  2.02 x_{11} & -19.91 x_{12} & -13.81 x_{13} & -0.10 x_{22} & +  8.93 x_{15}\\
 x_{20}   &  83.7906263067 & +  0.83 x_{27} & +  1.24 x_{21} & +  0.32 x_{25} & -25.82 x_{4} & -22.26 x_{3} & -3.00 x_{6} & -0.70 x_{30} & +  0.35 x_{28} & -1.62 x_{18} & -40.19 x_{10} & -20.04 x_{11} & +  4.65 x_{12} & -22.74 x_{13} & -2.91 x_{22} & + 14.16 x_{15}\\
 x_{14}   &  2.42421532453 & +  0.02 x_{27} & +  0.07 x_{21} & +  0.06 x_{25} & -0.54 x_{4} & -1.41 x_{3} & +  0.11 x_{6} & +  0.02 x_{30} & -0.00 x_{28} & -0.04 x_{18} & -1.77 x_{10} & -0.61 x_{11} & +  0.89 x_{12} & -0.60 x_{13} & -0.10 x_{22} & +  0.25 x_{15}\\
 x_{2}   &  3.02495394229 & +  0.00 x_{27} & +  0.04 x_{21} & -0.05 x_{25} & -1.19 x_{4} & +  0.38 x_{3} & +  0.42 x_{6} & -0.05 x_{30} & +  0.04 x_{28} & -0.07 x_{18} & -0.27 x_{10} & -0.60 x_{11} & -0.54 x_{12} & -0.74 x_{13} & -0.04 x_{22} & +  1.37 x_{15}\\
 x_{23}   &  38.4817751856 & +  1.65 x_{27} & -0.30 x_{21} & +  0.81 x_{25} & +  8.39 x_{4} & +  0.74 x_{3} & -20.77 x_{6} & -0.48 x_{30} & -0.05 x_{28} & +  0.04 x_{18} & -18.80 x_{10} & -5.20 x_{11} & +  1.55 x_{12} & -19.05 x_{13} & -1.48 x_{22} & +  8.15 x_{15}\\
 x_{24}   &  11.9443435432 & -0.44 x_{27} & -0.17 x_{21} & -0.68 x_{25} & -17.18 x_{4} & +  7.60 x_{3} & + 12.44 x_{6} & +  0.42 x_{30} & +  0.16 x_{28} & -0.15 x_{18} & +  3.31 x_{10} & +  3.44 x_{11} & -10.40 x_{12} & + 18.77 x_{13} & +  0.56 x_{22} & -3.53 x_{15}\\
 x_{5}   &  0.567199181802 & +  0.10 x_{27} & +  0.02 x_{21} & +  0.11 x_{25} & +  1.52 x_{4} & -1.29 x_{3} & -1.35 x_{6} & -0.03 x_{30} & -0.03 x_{28} & +  0.03 x_{18} & -1.43 x_{10} & -0.39 x_{11} & +  1.03 x_{12} & -1.05 x_{13} & -0.09 x_{22} & +  0.18 x_{15}\\
 x_{26}   &  9.39880821797 & -0.28 x_{27} & -0.11 x_{21} & -0.81 x_{25} & -7.54 x_{4} & + 11.84 x_{3} & +  3.95 x_{6} & +  0.11 x_{30} & +  0.49 x_{28} & -0.16 x_{18} & + 15.60 x_{10} & +  2.76 x_{11} & -10.78 x_{12} & +  8.85 x_{13} & +  0.85 x_{22} & + 12.46 x_{15}\\
 x_{1}   &  0.544658943599 & +  0.01 x_{27} & +  0.03 x_{21} & +  0.08 x_{25} & +  0.29 x_{4} & -1.27 x_{3} & -0.36 x_{6} & +  0.00 x_{30} & +  0.02 x_{28} & +  0.03 x_{18} & -1.35 x_{10} & -0.12 x_{11} & +  0.99 x_{12} & -0.41 x_{13} & -0.06 x_{22} & -0.35 x_{15}\\
 x_{8}   &  0.371577421256 & -0.08 x_{27} & -0.04 x_{21} & -0.04 x_{25} & -0.07 x_{4} & +  1.02 x_{3} & +  0.16 x_{6} & +  0.01 x_{30} & -0.02 x_{28} & +  0.01 x_{18} & +  1.89 x_{10} & +  1.34 x_{11} & -0.78 x_{12} & +  1.18 x_{13} & +  0.14 x_{22} & -0.60 x_{15}\\
 x_{29}   &  11.2170404068 & -0.22 x_{27} & +  0.57 x_{21} & -0.48 x_{25} & -6.41 x_{4} & +  7.28 x_{3} & +  5.89 x_{6} & +  0.23 x_{30} & -0.13 x_{28} & -0.22 x_{18} & -3.92 x_{10} & -4.98 x_{11} & -4.77 x_{12} & +  3.51 x_{13} & +  0.84 x_{22} & +  5.88 x_{15}\\
 x_{9}   &  1.46338212643 & -0.04 x_{27} & -0.03 x_{21} & -0.03 x_{25} & +  0.56 x_{4} & +  1.10 x_{3} & -0.25 x_{6} & +  0.07 x_{30} & -0.01 x_{28} & +  0.08 x_{18} & +  1.38 x_{10} & +  1.23 x_{11} & +  0.47 x_{12} & +  1.61 x_{13} & +  0.17 x_{22} & -1.04 x_{15}\\
\hline
z    &  -13.1931872906 & -0.51 x_{27} & -0.29 x_{21} & -0.45 x_{25} & -2.65 x_{4} & +  0.87 x_{3} & +  0.38 x_{6} & +  0.01 x_{30} & -0.18 x_{28} & +  0.38 x_{18} & + 18.82 x_{10} & +  4.95 x_{11} & -2.01 x_{12} & +  2.36 x_{13} & +  0.80 x_{22} & -8.40 x_{15}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  70.8070785937 & +  0.99 x_{27} & +  0.41 x_{21} & +  0.55 x_{25} & -10.16 x_{4} & -8.77 x_{1} & -13.22 x_{6} & -1.03 x_{30} & +  0.42 x_{28} & -0.96 x_{18} & -16.58 x_{10} & -19.07 x_{11} & +  2.27 x_{12} & -22.34 x_{13} & -1.72 x_{22} & +  9.13 x_{15}\\
 x_{17}   &  51.6328517908 & +  1.26 x_{27} & +  0.15 x_{21} & +  0.33 x_{25} & + 11.82 x_{4} & + 14.61 x_{1} & -14.48 x_{6} & -0.01 x_{30} & -0.69 x_{28} & -0.51 x_{18} & -17.81 x_{10} & -21.11 x_{11} & +  4.18 x_{12} & -16.53 x_{13} & -1.33 x_{22} & +  0.62 x_{15}\\
 x_{7}   &  1.44501366998 & -0.00 x_{27} & +  0.01 x_{21} & -0.05 x_{25} & -0.10 x_{4} & +  0.29 x_{1} & -0.14 x_{6} & -0.00 x_{30} & -0.03 x_{28} & +  0.02 x_{18} & +  0.87 x_{10} & +  0.08 x_{11} & -0.22 x_{12} & -0.47 x_{13} & +  0.03 x_{22} & +  0.24 x_{15}\\
 x_{19}   &  35.4403954637 & -0.19 x_{27} & +  0.45 x_{21} & -0.11 x_{25} & -10.17 x_{4} & -10.25 x_{1} & +  2.45 x_{6} & -0.28 x_{30} & +  0.04 x_{28} & -0.61 x_{18} & -0.44 x_{10} & +  0.81 x_{11} & -9.73 x_{12} & -17.96 x_{13} & -0.75 x_{22} & +  5.38 x_{15}\\
 x_{20}   &  74.2557490274 & +  0.66 x_{27} & +  0.64 x_{21} & -1.01 x_{25} & -30.96 x_{4} & + 17.51 x_{1} & +  3.26 x_{6} & -0.72 x_{30} & -0.01 x_{28} & -2.07 x_{18} & -16.59 x_{10} & -17.97 x_{11} & -12.73 x_{12} & -15.64 x_{13} & -1.81 x_{22} & + 20.21 x_{15}\\
 x_{14}   &  1.81962666761 & +  0.01 x_{27} & +  0.03 x_{21} & -0.03 x_{25} & -0.87 x_{4} & +  1.11 x_{1} & +  0.51 x_{6} & +  0.02 x_{30} & -0.02 x_{28} & -0.07 x_{18} & -0.27 x_{10} & -0.48 x_{11} & -0.21 x_{12} & -0.15 x_{13} & -0.03 x_{22} & +  0.64 x_{15}\\
 x_{2}   &  3.18780841712 & +  0.01 x_{27} & +  0.05 x_{21} & -0.03 x_{25} & -1.10 x_{4} & -0.30 x_{1} & +  0.31 x_{6} & -0.05 x_{30} & +  0.05 x_{28} & -0.06 x_{18} & -0.68 x_{10} & -0.63 x_{11} & -0.24 x_{12} & -0.86 x_{13} & -0.05 x_{22} & +  1.27 x_{15}\\
 x_{23}   &  38.7986205207 & +  1.66 x_{27} & -0.28 x_{21} & +  0.85 x_{25} & +  8.56 x_{4} & -0.58 x_{1} & -20.98 x_{6} & -0.48 x_{30} & -0.03 x_{28} & +  0.05 x_{18} & -19.59 x_{10} & -5.27 x_{11} & +  2.13 x_{12} & -19.29 x_{13} & -1.52 x_{22} & +  7.95 x_{15}\\
 x_{24}   &  15.1978989855 & -0.39 x_{27} & +  0.03 x_{21} & -0.23 x_{25} & -15.43 x_{4} & -5.97 x_{1} & + 10.31 x_{6} & +  0.43 x_{30} & +  0.29 x_{28} & +  0.01 x_{18} & -4.75 x_{10} & +  2.74 x_{11} & -4.47 x_{12} & + 16.35 x_{13} & +  0.18 x_{22} & -5.59 x_{15}\\
 x_{5}   &  0.0138524339261 & +  0.09 x_{27} & -0.01 x_{21} & +  0.03 x_{25} & +  1.22 x_{4} & +  1.02 x_{1} & -0.99 x_{6} & -0.03 x_{30} & -0.05 x_{28} & +  0.00 x_{18} & -0.06 x_{10} & -0.27 x_{11} & +  0.02 x_{12} & -0.64 x_{13} & -0.03 x_{22} & +  0.53 x_{15}\\
 x_{26}   &  14.4690345342 & -0.19 x_{27} & +  0.21 x_{21} & -0.10 x_{25} & -4.81 x_{4} & -9.31 x_{1} & +  0.62 x_{6} & +  0.12 x_{30} & +  0.68 x_{28} & +  0.08 x_{18} & +  3.05 x_{10} & +  1.66 x_{11} & -1.54 x_{12} & +  5.08 x_{13} & +  0.26 x_{22} & +  9.24 x_{15}\\
 x_{3}   &  0.428355420915 & +  0.01 x_{27} & +  0.03 x_{21} & +  0.06 x_{25} & +  0.23 x_{4} & -0.79 x_{1} & -0.28 x_{6} & +  0.00 x_{30} & +  0.02 x_{28} & +  0.02 x_{18} & -1.06 x_{10} & -0.09 x_{11} & +  0.78 x_{12} & -0.32 x_{13} & -0.05 x_{22} & -0.27 x_{15}\\
 x_{8}   &  0.807729332738 & -0.07 x_{27} & -0.01 x_{21} & +  0.02 x_{25} & +  0.16 x_{4} & -0.80 x_{1} & -0.13 x_{6} & +  0.01 x_{30} & -0.01 x_{28} & +  0.03 x_{18} & +  0.81 x_{10} & +  1.25 x_{11} & +  0.01 x_{12} & +  0.85 x_{13} & +  0.09 x_{22} & -0.88 x_{15}\\
 x_{29}   &  14.3354561646 & -0.16 x_{27} & +  0.76 x_{21} & -0.05 x_{25} & -4.73 x_{4} & -5.73 x_{1} & +  3.85 x_{6} & +  0.23 x_{30} & -0.01 x_{28} & -0.07 x_{18} & -11.64 x_{10} & -5.65 x_{11} & +  0.91 x_{12} & +  1.19 x_{13} & +  0.48 x_{22} & +  3.90 x_{15}\\
 x_{9}   &  1.93574139458 & -0.04 x_{27} & +  0.00 x_{21} & +  0.04 x_{25} & +  0.81 x_{4} & -0.87 x_{1} & -0.56 x_{6} & +  0.07 x_{30} & +  0.01 x_{28} & +  0.10 x_{18} & +  0.21 x_{10} & +  1.13 x_{11} & +  1.33 x_{12} & +  1.26 x_{13} & +  0.11 x_{22} & -1.34 x_{15}\\
\hline
z    &  -12.8201373483 & -0.51 x_{27} & -0.27 x_{21} & -0.39 x_{25} & -2.45 x_{4} & -0.68 x_{1} & +  0.13 x_{6} & +  0.01 x_{30} & -0.17 x_{28} & +  0.39 x_{18} & + 17.90 x_{10} & +  4.87 x_{11} & -1.33 x_{12} & +  2.08 x_{13} & +  0.75 x_{22} & -8.64 x_{15}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  70.621429831 & -0.25 x_{27} & +  0.58 x_{21} & +  0.10 x_{25} & -26.49 x_{4} & -22.38 x_{1} & + 13.40 x_{5} & -0.65 x_{30} & +  1.09 x_{28} & -0.97 x_{18} & -15.83 x_{10} & -15.43 x_{11} & +  2.00 x_{12} & -13.78 x_{13} & -1.34 x_{22} & +  2.04 x_{15}\\
 x_{17}   &  51.4294340787 & -0.09 x_{27} & +  0.33 x_{21} & -0.18 x_{25} & -6.08 x_{4} & -0.31 x_{1} & + 14.68 x_{5} & +  0.41 x_{30} & +  0.05 x_{28} & -0.52 x_{18} & -16.98 x_{10} & -17.13 x_{11} & +  3.89 x_{12} & -7.14 x_{13} & -0.91 x_{22} & -7.15 x_{15}\\
 x_{7}   &  1.44300677893 & -0.02 x_{27} & +  0.02 x_{21} & -0.05 x_{25} & -0.28 x_{4} & +  0.14 x_{1} & +  0.14 x_{5} & +  0.00 x_{30} & -0.03 x_{28} & +  0.02 x_{18} & +  0.88 x_{10} & +  0.12 x_{11} & -0.22 x_{12} & -0.37 x_{13} & +  0.03 x_{22} & +  0.16 x_{15}\\
 x_{19}   &  35.4748015629 & +  0.04 x_{27} & +  0.41 x_{21} & -0.02 x_{25} & -7.14 x_{4} & -7.73 x_{1} & -2.48 x_{5} & -0.35 x_{30} & -0.09 x_{28} & -0.61 x_{18} & -0.59 x_{10} & +  0.13 x_{11} & -9.68 x_{12} & -19.55 x_{13} & -0.82 x_{22} & +  6.70 x_{15}\\
 x_{20}   &  74.3014815772 & +  0.96 x_{27} & +  0.59 x_{21} & -0.90 x_{25} & -26.93 x_{4} & + 20.86 x_{1} & -3.30 x_{5} & -0.82 x_{30} & -0.18 x_{28} & -2.07 x_{18} & -16.77 x_{10} & -18.87 x_{11} & -12.67 x_{12} & -17.75 x_{13} & -1.90 x_{22} & + 21.96 x_{15}\\
 x_{14}   &  1.82674481487 & +  0.05 x_{27} & +  0.02 x_{21} & -0.01 x_{25} & -0.24 x_{4} & +  1.63 x_{1} & -0.51 x_{5} & +  0.00 x_{30} & -0.05 x_{28} & -0.07 x_{18} & -0.30 x_{10} & -0.62 x_{11} & -0.20 x_{12} & -0.48 x_{13} & -0.04 x_{22} & +  0.91 x_{15}\\
 x_{2}   &  3.19219478823 & +  0.04 x_{27} & +  0.04 x_{21} & -0.02 x_{25} & -0.71 x_{4} & +  0.02 x_{1} & -0.32 x_{5} & -0.05 x_{30} & +  0.03 x_{28} & -0.06 x_{18} & -0.70 x_{10} & -0.72 x_{11} & -0.24 x_{12} & -1.07 x_{13} & -0.06 x_{22} & +  1.44 x_{15}\\
 x_{23}   &  38.5039943478 & -0.30 x_{27} & -0.02 x_{21} & +  0.13 x_{25} & -17.36 x_{4} & -22.19 x_{1} & + 21.27 x_{5} & +  0.12 x_{30} & +  1.04 x_{28} & +  0.04 x_{18} & -18.38 x_{10} & +  0.50 x_{11} & +  1.71 x_{12} & -5.70 x_{13} & -0.90 x_{22} & -3.30 x_{15}\\
 x_{24}   &  15.3426808516 & +  0.58 x_{27} & -0.10 x_{21} & +  0.13 x_{25} & -2.69 x_{4} & +  4.64 x_{1} & -10.45 x_{5} & +  0.14 x_{30} & -0.24 x_{28} & +  0.02 x_{18} & -5.34 x_{10} & -0.10 x_{11} & -4.26 x_{12} & +  9.67 x_{13} & -0.12 x_{22} & -0.06 x_{15}\\
 x_{6}   &  0.0140440557631 & +  0.09 x_{27} & -0.01 x_{21} & +  0.03 x_{25} & +  1.24 x_{4} & +  1.03 x_{1} & -1.01 x_{5} & -0.03 x_{30} & -0.05 x_{28} & +  0.00 x_{18} & -0.06 x_{10} & -0.28 x_{11} & +  0.02 x_{12} & -0.65 x_{13} & -0.03 x_{22} & +  0.54 x_{15}\\
 x_{26}   &  14.4777766563 & -0.13 x_{27} & +  0.20 x_{21} & -0.08 x_{25} & -4.04 x_{4} & -8.67 x_{1} & -0.63 x_{5} & +  0.11 x_{30} & +  0.65 x_{28} & +  0.08 x_{18} & +  3.02 x_{10} & +  1.49 x_{11} & -1.52 x_{12} & +  4.67 x_{13} & +  0.25 x_{22} & +  9.58 x_{15}\\
 x_{3}   &  0.424410186967 & -0.02 x_{27} & +  0.03 x_{21} & +  0.05 x_{25} & -0.12 x_{4} & -1.08 x_{1} & +  0.28 x_{5} & +  0.01 x_{30} & +  0.03 x_{28} & +  0.02 x_{18} & -1.04 x_{10} & -0.02 x_{11} & +  0.78 x_{12} & -0.14 x_{13} & -0.04 x_{22} & -0.42 x_{15}\\
 x_{8}   &  0.805892298273 & -0.08 x_{27} & -0.01 x_{21} & +  0.02 x_{25} & +  0.00 x_{4} & -0.94 x_{1} & +  0.13 x_{5} & +  0.01 x_{30} & +  0.00 x_{28} & +  0.03 x_{18} & +  0.81 x_{10} & +  1.28 x_{11} & +  0.01 x_{12} & +  0.94 x_{13} & +  0.10 x_{22} & -0.95 x_{15}\\
 x_{29}   &  14.3895221761 & +  0.20 x_{27} & +  0.71 x_{21} & +  0.08 x_{25} & +  0.03 x_{4} & -1.76 x_{1} & -3.90 x_{5} & +  0.12 x_{30} & -0.21 x_{28} & -0.07 x_{18} & -11.86 x_{10} & -6.71 x_{11} & +  0.99 x_{12} & -1.31 x_{13} & +  0.36 x_{22} & +  5.97 x_{15}\\
 x_{9}   &  1.92787097063 & -0.09 x_{27} & +  0.01 x_{21} & +  0.02 x_{25} & +  0.12 x_{4} & -1.44 x_{1} & +  0.57 x_{5} & +  0.08 x_{30} & +  0.04 x_{28} & +  0.10 x_{18} & +  0.24 x_{10} & +  1.28 x_{11} & +  1.32 x_{12} & +  1.62 x_{13} & +  0.13 x_{22} & -1.64 x_{15}\\
\hline
z    &  -12.8182795796 & -0.50 x_{27} & -0.27 x_{21} & -0.39 x_{25} & -2.29 x_{4} & -0.55 x_{1} & -0.13 x_{5} & +  0.01 x_{30} & -0.17 x_{28} & +  0.39 x_{18} & + 17.89 x_{10} & +  4.83 x_{11} & -1.33 x_{12} & +  1.99 x_{13} & +  0.75 x_{22} & -8.57 x_{15}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  66.7429636584 & -26.03 x_{27} & +  4.12 x_{21} & -9.47 x_{25} & -367.68 x_{4} & -306.83 x_{1} & + 293.39 x_{5} & +  7.25 x_{30} & + 15.24 x_{28} & -1.15 x_{18} & + 276.16 x_{6} & + 60.53 x_{11} & -3.53 x_{12} & + 165.17 x_{13} & +  6.73 x_{22} & -146.07 x_{15}\\
 x_{17}   &  47.2680546323 & -27.75 x_{27} & +  4.13 x_{21} & -10.44 x_{25} & -372.16 x_{4} & -305.51 x_{1} & + 315.09 x_{5} & +  8.88 x_{30} & + 15.23 x_{28} & -0.72 x_{18} & + 296.31 x_{6} & + 64.38 x_{11} & -2.04 x_{12} & + 184.85 x_{13} & +  7.75 x_{22} & -166.07 x_{15}\\
 x_{7}   &  1.65879071552 & +  1.42 x_{27} & -0.18 x_{21} & +  0.48 x_{25} & + 18.70 x_{4} & + 15.96 x_{1} & -15.43 x_{5} & -0.44 x_{30} & -0.81 x_{28} & +  0.03 x_{18} & -15.36 x_{6} & -4.11 x_{11} & +  0.09 x_{12} & -10.33 x_{13} & -0.42 x_{22} & +  8.40 x_{15}\\
 x_{19}   &  35.3313902728 & -0.92 x_{27} & +  0.54 x_{21} & -0.37 x_{25} & -19.76 x_{4} & -18.25 x_{1} & +  7.87 x_{5} & -0.06 x_{30} & +  0.44 x_{28} & -0.61 x_{18} & + 10.21 x_{6} & +  2.94 x_{11} & -9.89 x_{12} & -12.94 x_{13} & -0.52 x_{22} & +  1.22 x_{15}\\
 x_{20}   &  70.1913418905 & -26.35 x_{27} & +  4.34 x_{21} & -11.04 x_{25} & -388.51 x_{4} & -280.58 x_{1} & + 293.41 x_{5} & +  7.55 x_{30} & + 14.82 x_{28} & -2.26 x_{18} & + 292.66 x_{6} & + 61.64 x_{11} & -18.53 x_{12} & + 171.88 x_{13} & +  6.65 x_{22} & -135.00 x_{15}\\
 x_{14}   &  1.75250306673 & -0.44 x_{27} & +  0.09 x_{21} & -0.19 x_{25} & -6.77 x_{4} & -3.81 x_{1} & +  4.85 x_{5} & +  0.15 x_{30} & +  0.22 x_{28} & -0.07 x_{18} & +  5.29 x_{6} & +  0.84 x_{11} & -0.31 x_{12} & +  2.95 x_{13} & +  0.11 x_{22} & -1.93 x_{15}\\
 x_{2}   &  3.02178439018 & -1.10 x_{27} & +  0.20 x_{21} & -0.44 x_{25} & -15.70 x_{4} & -12.48 x_{1} & + 11.99 x_{5} & +  0.29 x_{30} & +  0.66 x_{28} & -0.07 x_{18} & + 12.13 x_{6} & +  2.62 x_{11} & -0.48 x_{12} & +  6.80 x_{13} & +  0.29 x_{22} & -5.07 x_{15}\\
 x_{23}   &  33.9989199635 & -30.25 x_{27} & +  4.09 x_{21} & -10.99 x_{25} & -413.68 x_{4} & -352.60 x_{1} & + 346.49 x_{5} & +  9.29 x_{30} & + 17.47 x_{28} & -0.18 x_{18} & + 320.78 x_{6} & + 88.74 x_{11} & -4.72 x_{12} & + 202.16 x_{13} & +  8.47 x_{22} & -175.35 x_{15}\\
 x_{24}   &  14.0349778305 & -8.12 x_{27} & +  1.09 x_{21} & -3.10 x_{25} & -117.73 x_{4} & -91.26 x_{1} & + 83.95 x_{5} & +  2.80 x_{30} & +  4.53 x_{28} & -0.05 x_{18} & + 93.11 x_{6} & + 25.52 x_{11} & -6.13 x_{12} & + 70.00 x_{13} & +  2.60 x_{22} & -50.00 x_{15}\\
 x_{10}   &  0.245064110032 & +  1.63 x_{27} & -0.22 x_{21} & +  0.60 x_{25} & + 21.56 x_{4} & + 17.97 x_{1} & -17.69 x_{5} & -0.50 x_{30} & -0.89 x_{28} & +  0.01 x_{18} & -17.45 x_{6} & -4.80 x_{11} & +  0.35 x_{12} & -11.31 x_{13} & -0.51 x_{22} & +  9.36 x_{15}\\
 x_{26}   &  15.2168954434 & +  4.78 x_{27} & -0.47 x_{21} & +  1.74 x_{25} & + 60.98 x_{4} & + 45.54 x_{1} & -53.99 x_{5} & -1.40 x_{30} & -2.05 x_{28} & +  0.11 x_{18} & -52.63 x_{6} & -12.99 x_{11} & -0.47 x_{12} & -29.43 x_{13} & -1.29 x_{22} & + 37.80 x_{15}\\
 x_{3}   &  0.168498022903 & -1.72 x_{27} & +  0.26 x_{21} & -0.58 x_{25} & -22.63 x_{4} & -19.84 x_{1} & + 18.76 x_{5} & +  0.53 x_{30} & +  0.96 x_{28} & +  0.01 x_{18} & + 18.22 x_{6} & +  5.00 x_{11} & +  0.41 x_{12} & + 11.67 x_{13} & +  0.49 x_{22} & -10.20 x_{15}\\
 x_{8}   &  1.00516443829 & +  1.24 x_{27} & -0.19 x_{21} & +  0.51 x_{25} & + 17.53 x_{4} & + 13.68 x_{1} & -14.25 x_{5} & -0.39 x_{30} & -0.73 x_{28} & +  0.04 x_{18} & -14.19 x_{6} & -2.62 x_{11} & +  0.29 x_{12} & -8.26 x_{13} & -0.32 x_{22} & +  6.66 x_{15}\\
 x_{29}   &  11.4822719143 & -19.13 x_{27} & +  3.37 x_{21} & -7.09 x_{25} & -255.72 x_{4} & -214.98 x_{1} & + 205.97 x_{5} & +  6.04 x_{30} & + 10.39 x_{28} & -0.21 x_{18} & + 207.01 x_{6} & + 50.23 x_{11} & -3.16 x_{12} & + 132.83 x_{13} & +  6.41 x_{22} & -105.06 x_{15}\\
 x_{9}   &  1.98739454911 & +  0.31 x_{27} & -0.05 x_{21} & +  0.17 x_{25} & +  5.36 x_{4} & +  2.92 x_{1} & -3.73 x_{5} & -0.04 x_{30} & -0.18 x_{28} & +  0.10 x_{18} & -4.24 x_{6} & +  0.12 x_{11} & +  1.41 x_{12} & -1.12 x_{13} & +  0.01 x_{22} & +  0.64 x_{15}\\
\hline
z    &  -8.43444329466 & + 28.64 x_{27} & -4.27 x_{21} & + 10.43 x_{25} & + 383.36 x_{4} & + 320.97 x_{1} & -316.60 x_{5} & -8.91 x_{30} & -16.17 x_{28} & +  0.60 x_{18} & -312.15 x_{6} & -81.04 x_{11} & +  4.92 x_{12} & -200.27 x_{13} & -8.37 x_{22} & + 158.85 x_{15}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  64.137699342 & +  0.56 x_{27} & +  0.03 x_{21} & -0.48 x_{25} & -17.80 x_{4} & + 15.46 x_{3} & +  3.34 x_{5} & -0.95 x_{30} & +  0.34 x_{28} & -1.28 x_{18} & -5.58 x_{6} & -16.73 x_{11} & -9.87 x_{12} & -15.28 x_{13} & -0.86 x_{22} & + 11.57 x_{15}\\
 x_{17}   &  44.674004725 & -1.28 x_{27} & +  0.06 x_{21} & -1.49 x_{25} & -23.78 x_{4} & + 15.40 x_{3} & + 26.30 x_{5} & +  0.72 x_{30} & +  0.40 x_{28} & -0.84 x_{18} & + 15.78 x_{6} & -12.55 x_{11} & -8.36 x_{12} & +  5.19 x_{13} & +  0.19 x_{22} & -9.11 x_{15}\\
 x_{7}   &  1.79434049679 & +  0.03 x_{27} & +  0.03 x_{21} & +  0.01 x_{25} & +  0.50 x_{4} & -0.80 x_{3} & -0.34 x_{5} & -0.01 x_{30} & -0.04 x_{28} & +  0.04 x_{18} & -0.71 x_{6} & -0.09 x_{11} & +  0.42 x_{12} & -0.94 x_{13} & -0.02 x_{22} & +  0.20 x_{15}\\
 x_{19}   &  35.1764374606 & +  0.66 x_{27} & +  0.30 x_{21} & +  0.16 x_{25} & +  1.05 x_{4} & +  0.92 x_{3} & -9.38 x_{5} & -0.55 x_{30} & -0.45 x_{28} & -0.62 x_{18} & -6.55 x_{6} & -1.65 x_{11} & -10.26 x_{12} & -23.67 x_{13} & -0.97 x_{22} & + 10.60 x_{15}\\
 x_{20}   &  67.8089671617 & -2.04 x_{27} & +  0.61 x_{21} & -2.82 x_{25} & -68.56 x_{4} & + 14.14 x_{3} & + 28.18 x_{5} & +  0.06 x_{30} & +  1.19 x_{28} & -2.38 x_{18} & + 35.02 x_{6} & -9.02 x_{11} & -24.33 x_{12} & +  6.87 x_{13} & -0.29 x_{22} & +  9.15 x_{15}\\
 x_{14}   &  1.72012848889 & -0.11 x_{27} & +  0.04 x_{21} & -0.08 x_{25} & -2.43 x_{4} & +  0.19 x_{3} & +  1.24 x_{5} & +  0.05 x_{30} & +  0.04 x_{28} & -0.07 x_{18} & +  1.79 x_{6} & -0.12 x_{11} & -0.38 x_{12} & +  0.71 x_{13} & +  0.02 x_{22} & +  0.03 x_{15}\\
 x_{2}   &  2.91585793039 & -0.01 x_{27} & +  0.03 x_{21} & -0.07 x_{25} & -1.48 x_{4} & +  0.63 x_{3} & +  0.19 x_{5} & -0.04 x_{30} & +  0.05 x_{28} & -0.08 x_{18} & +  0.68 x_{6} & -0.52 x_{11} & -0.74 x_{12} & -0.54 x_{13} & -0.02 x_{22} & +  1.34 x_{15}\\
 x_{23}   &  31.0050766081 & +  0.31 x_{27} & -0.60 x_{21} & -0.66 x_{25} & -11.60 x_{4} & + 17.77 x_{3} & + 13.18 x_{5} & -0.12 x_{30} & +  0.35 x_{28} & -0.32 x_{18} & -2.99 x_{6} & -0.04 x_{11} & -12.01 x_{12} & -5.20 x_{13} & -0.25 x_{22} & +  5.80 x_{15}\\
 x_{24}   &  13.2600745837 & -0.21 x_{27} & -0.12 x_{21} & -0.42 x_{25} & -13.66 x_{4} & +  4.60 x_{3} & -2.32 x_{5} & +  0.36 x_{30} & +  0.09 x_{28} & -0.08 x_{18} & +  9.31 x_{6} & +  2.53 x_{11} & -8.01 x_{12} & + 16.33 x_{13} & +  0.34 x_{22} & -3.11 x_{15}\\
 x_{10}   &  0.397672190481 & +  0.07 x_{27} & +  0.02 x_{21} & +  0.08 x_{25} & +  1.06 x_{4} & -0.91 x_{3} & -0.70 x_{5} & -0.02 x_{30} & -0.02 x_{28} & +  0.02 x_{18} & -0.95 x_{6} & -0.27 x_{11} & +  0.72 x_{12} & -0.74 x_{13} & -0.07 x_{22} & +  0.12 x_{15}\\
 x_{26}   &  15.6035674873 & +  0.83 x_{27} & +  0.13 x_{21} & +  0.41 x_{25} & +  9.05 x_{4} & -2.29 x_{3} & -10.94 x_{5} & -0.18 x_{30} & +  0.16 x_{28} & +  0.13 x_{18} & -10.81 x_{6} & -1.52 x_{11} & +  0.47 x_{12} & -2.65 x_{13} & -0.17 x_{22} & + 14.41 x_{15}\\
 x_{1}   &  0.00849085025363 & -0.09 x_{27} & +  0.01 x_{21} & -0.03 x_{25} & -1.14 x_{4} & -0.05 x_{3} & +  0.95 x_{5} & +  0.03 x_{30} & +  0.05 x_{28} & +  0.00 x_{18} & +  0.92 x_{6} & +  0.25 x_{11} & +  0.02 x_{12} & +  0.59 x_{13} & +  0.02 x_{22} & -0.51 x_{15}\\
 x_{8}   &  1.12131334157 & +  0.06 x_{27} & -0.01 x_{21} & +  0.11 x_{25} & +  1.93 x_{4} & -0.69 x_{3} & -1.32 x_{5} & -0.03 x_{30} & -0.06 x_{28} & +  0.05 x_{18} & -1.63 x_{6} & +  0.82 x_{11} & +  0.58 x_{12} & -0.21 x_{13} & +  0.02 x_{22} & -0.37 x_{15}\\
 x_{29}   &  9.65690264126 & -0.50 x_{27} & +  0.50 x_{21} & -0.79 x_{25} & -10.58 x_{4} & + 10.83 x_{3} & +  2.75 x_{5} & +  0.30 x_{30} & -0.05 x_{28} & -0.30 x_{18} & +  9.61 x_{6} & -3.90 x_{11} & -7.60 x_{12} & +  6.40 x_{13} & +  1.10 x_{22} & +  5.39 x_{15}\\
 x_{9}   &  2.01219662289 & +  0.05 x_{27} & -0.01 x_{21} & +  0.08 x_{25} & +  2.02 x_{4} & -0.15 x_{3} & -0.97 x_{5} & +  0.04 x_{30} & -0.04 x_{28} & +  0.11 x_{18} & -1.56 x_{6} & +  0.85 x_{11} & +  1.47 x_{12} & +  0.60 x_{13} & +  0.08 x_{22} & -0.86 x_{15}\\
\hline
z    &  -5.70916802141 & +  0.83 x_{27} & -0.00 x_{21} & +  1.02 x_{25} & + 17.36 x_{4} & -16.17 x_{3} & -13.19 x_{5} & -0.34 x_{30} & -0.58 x_{28} & +  0.73 x_{18} & -17.43 x_{6} & -0.22 x_{11} & + 11.56 x_{12} & -11.51 x_{13} & -0.43 x_{22} & -6.06 x_{15}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  64.0051941942 & +  1.92 x_{27} & -0.17 x_{21} & -0.03 x_{25} & + 15.61 x_{1} & + 16.25 x_{3} & -11.41 x_{5} & -1.37 x_{30} & -0.42 x_{28} & -1.28 x_{18} & -19.91 x_{6} & -20.66 x_{11} & -10.19 x_{12} & -24.46 x_{13} & -1.24 x_{22} & + 19.59 x_{15}\\
 x_{17}   &  44.4969264962 & +  0.53 x_{27} & -0.21 x_{21} & -0.88 x_{25} & + 20.86 x_{1} & + 16.45 x_{3} & +  6.58 x_{5} & +  0.16 x_{30} & -0.62 x_{28} & -0.85 x_{18} & -3.37 x_{6} & -17.80 x_{11} & -8.79 x_{12} & -7.08 x_{13} & -0.33 x_{22} & +  1.61 x_{15}\\
 x_{7}   &  1.79805875209 & -0.00 x_{27} & +  0.04 x_{21} & +  0.00 x_{25} & -0.44 x_{1} & -0.83 x_{3} & +  0.07 x_{5} & -0.00 x_{30} & -0.02 x_{28} & +  0.04 x_{18} & -0.30 x_{6} & +  0.02 x_{11} & +  0.42 x_{12} & -0.68 x_{13} & -0.01 x_{22} & -0.03 x_{15}\\
 x_{19}   &  35.1842598883 & +  0.58 x_{27} & +  0.31 x_{21} & +  0.13 x_{25} & -0.92 x_{1} & +  0.87 x_{3} & -8.51 x_{5} & -0.52 x_{30} & -0.40 x_{28} & -0.62 x_{18} & -5.70 x_{6} & -1.42 x_{11} & -10.24 x_{12} & -23.13 x_{13} & -0.95 x_{22} & + 10.12 x_{15}\\
 x_{20}   &  67.2985063589 & +  3.17 x_{27} & -0.19 x_{21} & -1.06 x_{25} & + 60.12 x_{1} & + 17.17 x_{3} & -28.65 x_{5} & -1.55 x_{30} & -1.73 x_{28} & -2.40 x_{18} & -20.18 x_{6} & -24.15 x_{11} & -25.57 x_{12} & -28.48 x_{13} & -1.78 x_{22} & + 40.04 x_{15}\\
 x_{14}   &  1.70206447878 & +  0.07 x_{27} & +  0.01 x_{21} & -0.02 x_{25} & +  2.13 x_{1} & +  0.30 x_{3} & -0.77 x_{5} & -0.00 x_{30} & -0.07 x_{28} & -0.08 x_{18} & -0.17 x_{6} & -0.66 x_{11} & -0.43 x_{12} & -0.54 x_{13} & -0.03 x_{22} & +  1.13 x_{15}\\
 x_{2}   &  2.90485547827 & +  0.10 x_{27} & +  0.02 x_{21} & -0.04 x_{25} & +  1.30 x_{1} & +  0.69 x_{3} & -1.03 x_{5} & -0.08 x_{30} & -0.01 x_{28} & -0.08 x_{18} & -0.51 x_{6} & -0.85 x_{11} & -0.77 x_{12} & -1.30 x_{13} & -0.05 x_{22} & +  2.00 x_{15}\\
 x_{23}   &  30.9186858275 & +  1.19 x_{27} & -0.73 x_{21} & -0.36 x_{25} & + 10.17 x_{1} & + 18.28 x_{3} & +  3.56 x_{5} & -0.40 x_{30} & -0.15 x_{28} & -0.32 x_{18} & -12.33 x_{6} & -2.60 x_{11} & -12.22 x_{12} & -11.18 x_{13} & -0.50 x_{22} & + 11.03 x_{15}\\
 x_{24}   &  13.1583400121 & +  0.83 x_{27} & -0.28 x_{21} & -0.07 x_{25} & + 11.98 x_{1} & +  5.20 x_{3} & -13.65 x_{5} & +  0.04 x_{30} & -0.49 x_{28} & -0.09 x_{18} & -1.69 x_{6} & -0.48 x_{11} & -8.26 x_{12} & +  9.28 x_{13} & +  0.05 x_{22} & +  3.04 x_{15}\\
 x_{10}   &  0.405590175603 & -0.01 x_{27} & +  0.03 x_{21} & +  0.05 x_{25} & -0.93 x_{1} & -0.95 x_{3} & +  0.18 x_{5} & +  0.01 x_{30} & +  0.02 x_{28} & +  0.02 x_{18} & -0.09 x_{6} & -0.04 x_{11} & +  0.74 x_{12} & -0.19 x_{13} & -0.04 x_{22} & -0.35 x_{15}\\
 x_{26}   &  15.6709557141 & +  0.14 x_{27} & +  0.24 x_{21} & +  0.17 x_{25} & -7.94 x_{1} & -2.69 x_{3} & -3.44 x_{5} & +  0.03 x_{30} & +  0.55 x_{28} & +  0.14 x_{18} & -3.52 x_{6} & +  0.48 x_{11} & +  0.64 x_{12} & +  2.02 x_{13} & +  0.03 x_{22} & + 10.33 x_{15}\\
 x_{4}   &  0.00744600136335 & -0.08 x_{27} & +  0.01 x_{21} & -0.03 x_{25} & -0.88 x_{1} & -0.04 x_{3} & +  0.83 x_{5} & +  0.02 x_{30} & +  0.04 x_{28} & +  0.00 x_{18} & +  0.81 x_{6} & +  0.22 x_{11} & +  0.02 x_{12} & +  0.52 x_{13} & +  0.02 x_{22} & -0.45 x_{15}\\
 x_{8}   &  1.13570964814 & -0.09 x_{27} & +  0.02 x_{21} & +  0.06 x_{25} & -1.70 x_{1} & -0.77 x_{3} & +  0.28 x_{5} & +  0.02 x_{30} & +  0.02 x_{28} & +  0.05 x_{18} & -0.07 x_{6} & +  1.25 x_{11} & +  0.61 x_{12} & +  0.79 x_{13} & +  0.06 x_{22} & -1.24 x_{15}\\
 x_{29}   &  9.57814483854 & +  0.31 x_{27} & +  0.38 x_{21} & -0.52 x_{25} & +  9.28 x_{1} & + 11.30 x_{3} & -6.02 x_{5} & +  0.05 x_{30} & -0.50 x_{28} & -0.30 x_{18} & +  1.09 x_{6} & -6.23 x_{11} & -7.80 x_{12} & +  0.95 x_{13} & +  0.87 x_{22} & + 10.16 x_{15}\\
 x_{9}   &  2.02726905621 & -0.10 x_{27} & +  0.02 x_{21} & +  0.03 x_{25} & -1.78 x_{1} & -0.24 x_{3} & +  0.71 x_{5} & +  0.09 x_{30} & +  0.05 x_{28} & +  0.11 x_{18} & +  0.07 x_{6} & +  1.30 x_{11} & +  1.50 x_{12} & +  1.64 x_{13} & +  0.12 x_{22} & -1.78 x_{15}\\
\hline
z    &  -5.57991705919 & -0.49 x_{27} & +  0.20 x_{21} & +  0.58 x_{25} & -15.22 x_{1} & -16.94 x_{3} & +  1.19 x_{5} & +  0.07 x_{30} & +  0.16 x_{28} & +  0.74 x_{18} & -3.45 x_{6} & +  3.62 x_{11} & + 11.87 x_{12} & -2.56 x_{13} & -0.06 x_{22} & -13.88 x_{15}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  53.0019467811 & +  1.22 x_{27} & +  0.06 x_{21} & +  0.03 x_{25} & +  5.59 x_{1} & + 11.90 x_{3} & +  0.84 x_{24} & -1.40 x_{30} & -0.01 x_{28} & -1.21 x_{18} & -18.50 x_{6} & -20.25 x_{11} & -3.29 x_{12} & -32.22 x_{13} & -1.28 x_{22} & + 17.04 x_{15}\\
 x_{17}   &  50.843132782 & +  0.93 x_{27} & -0.35 x_{21} & -0.92 x_{25} & + 26.63 x_{1} & + 18.96 x_{3} & -0.48 x_{24} & +  0.18 x_{30} & -0.85 x_{28} & -0.89 x_{18} & -4.19 x_{6} & -18.03 x_{11} & -12.77 x_{12} & -2.60 x_{13} & -0.30 x_{22} & +  3.07 x_{15}\\
 x_{7}   &  1.86780220338 & +  0.00 x_{27} & +  0.04 x_{21} & +  0.00 x_{25} & -0.37 x_{1} & -0.80 x_{3} & -0.01 x_{24} & +  0.00 x_{30} & -0.02 x_{28} & +  0.04 x_{18} & -0.31 x_{6} & +  0.02 x_{11} & +  0.38 x_{12} & -0.63 x_{13} & -0.01 x_{22} & -0.01 x_{15}\\
 x_{19}   &  26.9772590402 & +  0.06 x_{27} & +  0.49 x_{21} & +  0.18 x_{25} & -8.39 x_{1} & -2.37 x_{3} & +  0.62 x_{24} & -0.55 x_{30} & -0.10 x_{28} & -0.57 x_{18} & -4.65 x_{6} & -1.12 x_{11} & -5.09 x_{12} & -28.92 x_{13} & -0.98 x_{22} & +  8.23 x_{15}\\
 x_{20}   &  39.6687840278 & +  1.42 x_{27} & +  0.40 x_{21} & -0.91 x_{25} & + 34.96 x_{1} & +  6.24 x_{3} & +  2.10 x_{24} & -1.64 x_{30} & -0.71 x_{28} & -2.22 x_{18} & -16.64 x_{6} & -23.14 x_{11} & -8.22 x_{12} & -47.97 x_{13} & -1.88 x_{22} & + 33.65 x_{15}\\
 x_{14}   &  0.959828745044 & +  0.03 x_{27} & +  0.03 x_{21} & -0.01 x_{25} & +  1.45 x_{1} & +  0.01 x_{3} & +  0.06 x_{24} & -0.01 x_{30} & -0.04 x_{28} & -0.07 x_{18} & -0.07 x_{6} & -0.63 x_{11} & +  0.04 x_{12} & -1.07 x_{13} & -0.04 x_{22} & +  0.95 x_{15}\\
 x_{2}   &  1.90917860832 & +  0.03 x_{27} & +  0.04 x_{21} & -0.03 x_{25} & +  0.39 x_{1} & +  0.30 x_{3} & +  0.08 x_{24} & -0.08 x_{30} & +  0.02 x_{28} & -0.07 x_{18} & -0.38 x_{6} & -0.81 x_{11} & -0.14 x_{12} & -2.01 x_{13} & -0.05 x_{22} & +  1.77 x_{15}\\
 x_{23}   &  34.3552185721 & +  1.41 x_{27} & -0.81 x_{21} & -0.38 x_{25} & + 13.30 x_{1} & + 19.64 x_{3} & -0.26 x_{24} & -0.38 x_{30} & -0.27 x_{28} & -0.35 x_{18} & -12.77 x_{6} & -2.73 x_{11} & -14.38 x_{12} & -8.76 x_{13} & -0.49 x_{22} & + 11.83 x_{15}\\
 x_{5}   &  0.964273421511 & +  0.06 x_{27} & -0.02 x_{21} & -0.01 x_{25} & +  0.88 x_{1} & +  0.38 x_{3} & -0.07 x_{24} & +  0.00 x_{30} & -0.04 x_{28} & -0.01 x_{18} & -0.12 x_{6} & -0.04 x_{11} & -0.61 x_{12} & +  0.68 x_{13} & +  0.00 x_{22} & +  0.22 x_{15}\\
 x_{10}   &  0.579542891958 & +  0.00 x_{27} & +  0.02 x_{21} & +  0.05 x_{25} & -0.77 x_{1} & -0.88 x_{3} & -0.01 x_{24} & +  0.01 x_{30} & +  0.02 x_{28} & +  0.02 x_{18} & -0.11 x_{6} & -0.05 x_{11} & +  0.63 x_{12} & -0.07 x_{13} & -0.04 x_{22} & -0.31 x_{15}\\
 x_{26}   &  12.3568157734 & -0.07 x_{27} & +  0.31 x_{21} & +  0.19 x_{25} & -10.95 x_{1} & -4.01 x_{3} & +  0.25 x_{24} & +  0.02 x_{30} & +  0.67 x_{28} & +  0.16 x_{18} & -3.10 x_{6} & +  0.60 x_{11} & +  2.72 x_{12} & -0.32 x_{13} & +  0.02 x_{22} & +  9.56 x_{15}\\
 x_{4}   &  0.806796953418 & -0.03 x_{27} & -0.01 x_{21} & -0.03 x_{25} & -0.15 x_{1} & +  0.27 x_{3} & -0.06 x_{24} & +  0.03 x_{30} & +  0.01 x_{28} & -0.01 x_{18} & +  0.70 x_{6} & +  0.19 x_{11} & -0.48 x_{12} & +  1.08 x_{13} & +  0.02 x_{22} & -0.27 x_{15}\\
 x_{8}   &  1.40659997783 & -0.07 x_{27} & +  0.01 x_{21} & +  0.06 x_{25} & -1.45 x_{1} & -0.67 x_{3} & -0.02 x_{24} & +  0.02 x_{30} & +  0.01 x_{28} & +  0.05 x_{18} & -0.11 x_{6} & +  1.24 x_{11} & +  0.44 x_{12} & +  0.98 x_{13} & +  0.06 x_{22} & -1.18 x_{15}\\
 x_{29}   &  3.77558451091 & -0.06 x_{27} & +  0.51 x_{21} & -0.49 x_{25} & +  3.99 x_{1} & +  9.01 x_{3} & +  0.44 x_{24} & +  0.03 x_{30} & -0.28 x_{28} & -0.26 x_{18} & +  1.83 x_{6} & -6.02 x_{11} & -4.15 x_{12} & -3.15 x_{13} & +  0.85 x_{22} & +  8.82 x_{15}\\
 x_{9}   &  2.71232240734 & -0.06 x_{27} & +  0.00 x_{21} & +  0.02 x_{25} & -1.15 x_{1} & +  0.03 x_{3} & -0.05 x_{24} & +  0.09 x_{30} & +  0.02 x_{28} & +  0.10 x_{18} & -0.01 x_{6} & +  1.28 x_{11} & +  1.07 x_{12} & +  2.12 x_{13} & +  0.12 x_{22} & -1.62 x_{15}\\
\hline
z    &  -4.42772422636 & -0.42 x_{27} & +  0.18 x_{21} & +  0.57 x_{25} & -14.17 x_{1} & -16.49 x_{3} & -0.09 x_{24} & +  0.07 x_{30} & +  0.12 x_{28} & +  0.73 x_{18} & -3.60 x_{6} & +  3.57 x_{11} & + 11.15 x_{12} & -1.75 x_{13} & -0.05 x_{22} & -13.61 x_{15}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{29} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  40.3042306972 & +  1.42 x_{27} & -1.64 x_{21} & +  1.67 x_{25} & -7.84 x_{1} & -18.39 x_{3} & -0.65 x_{24} & -1.51 x_{30} & +  0.94 x_{28} & -0.33 x_{18} & -24.66 x_{6} & +  3.36 x_{29} & + 10.68 x_{12} & -21.63 x_{13} & -4.13 x_{22} & -12.60 x_{15}\\
 x_{17}   &  39.5391042278 & +  1.11 x_{27} & -1.86 x_{21} & +  0.55 x_{25} & + 14.68 x_{1} & -8.01 x_{3} & -1.80 x_{24} & +  0.08 x_{30} & -0.00 x_{28} & -0.11 x_{18} & -9.68 x_{6} & +  2.99 x_{29} & -0.34 x_{12} & +  6.82 x_{13} & -2.83 x_{22} & -23.32 x_{15}\\
 x_{7}   &  1.87990915912 & -0.00 x_{27} & +  0.04 x_{21} & -0.00 x_{25} & -0.36 x_{1} & -0.77 x_{3} & -0.00 x_{24} & +  0.00 x_{30} & -0.02 x_{28} & +  0.04 x_{18} & -0.31 x_{6} & -0.00 x_{29} & +  0.37 x_{12} & -0.64 x_{13} & -0.01 x_{22} & +  0.02 x_{15}\\
 x_{19}   &  26.2752477651 & +  0.08 x_{27} & +  0.40 x_{21} & +  0.27 x_{25} & -9.14 x_{1} & -4.05 x_{3} & +  0.54 x_{24} & -0.56 x_{30} & -0.05 x_{28} & -0.52 x_{18} & -4.99 x_{6} & +  0.19 x_{29} & -4.32 x_{12} & -28.33 x_{13} & -1.13 x_{22} & +  6.59 x_{15}\\
 x_{20}   &  25.1610327603 & +  1.65 x_{27} & -1.54 x_{21} & +  0.97 x_{25} & + 19.62 x_{1} & -28.36 x_{3} & +  0.41 x_{24} & -1.77 x_{30} & +  0.38 x_{28} & -1.22 x_{18} & -23.68 x_{6} & +  3.84 x_{29} & +  7.73 x_{12} & -35.88 x_{13} & -5.13 x_{22} & -0.22 x_{15}\\
 x_{14}   &  0.56448706583 & +  0.03 x_{27} & -0.03 x_{21} & +  0.04 x_{25} & +  1.03 x_{1} & -0.94 x_{3} & +  0.01 x_{24} & -0.01 x_{30} & -0.01 x_{28} & -0.04 x_{18} & -0.27 x_{6} & +  0.10 x_{29} & +  0.47 x_{12} & -0.74 x_{13} & -0.12 x_{22} & +  0.03 x_{15}\\
 x_{2}   &  1.40028293144 & +  0.04 x_{27} & -0.03 x_{21} & +  0.04 x_{25} & -0.15 x_{1} & -0.91 x_{3} & +  0.02 x_{24} & -0.08 x_{30} & +  0.06 x_{28} & -0.04 x_{18} & -0.63 x_{6} & +  0.13 x_{29} & +  0.42 x_{12} & -1.58 x_{13} & -0.17 x_{22} & +  0.59 x_{15}\\
 x_{23}   &  32.6440446802 & +  1.44 x_{27} & -1.04 x_{21} & -0.16 x_{25} & + 11.49 x_{1} & + 15.56 x_{3} & -0.46 x_{24} & -0.40 x_{30} & -0.14 x_{28} & -0.23 x_{18} & -13.60 x_{6} & +  0.45 x_{29} & -12.49 x_{12} & -7.33 x_{13} & -0.88 x_{22} & +  7.83 x_{15}\\
 x_{5}   &  0.942119599233 & +  0.06 x_{27} & -0.02 x_{21} & -0.00 x_{25} & +  0.85 x_{1} & +  0.33 x_{3} & -0.08 x_{24} & +  0.00 x_{30} & -0.03 x_{28} & -0.00 x_{18} & -0.13 x_{6} & +  0.01 x_{29} & -0.58 x_{12} & +  0.70 x_{13} & -0.00 x_{22} & +  0.17 x_{15}\\
 x_{10}   &  0.55077585913 & +  0.00 x_{27} & +  0.02 x_{21} & +  0.05 x_{25} & -0.80 x_{1} & -0.95 x_{3} & -0.02 x_{24} & +  0.01 x_{30} & +  0.02 x_{28} & +  0.02 x_{18} & -0.13 x_{6} & +  0.01 x_{29} & +  0.66 x_{12} & -0.04 x_{13} & -0.05 x_{22} & -0.38 x_{15}\\
 x_{26}   &  12.7333065055 & -0.07 x_{27} & +  0.36 x_{21} & +  0.14 x_{25} & -10.56 x_{1} & -3.11 x_{3} & +  0.30 x_{24} & +  0.02 x_{30} & +  0.64 x_{28} & +  0.13 x_{18} & -2.92 x_{6} & -0.10 x_{29} & +  2.30 x_{12} & -0.63 x_{13} & +  0.10 x_{22} & + 10.44 x_{15}\\
 x_{4}   &  0.926868960755 & -0.03 x_{27} & +  0.01 x_{21} & -0.05 x_{25} & -0.02 x_{1} & +  0.56 x_{3} & -0.05 x_{24} & +  0.03 x_{30} & +  0.00 x_{28} & -0.01 x_{18} & +  0.76 x_{6} & -0.03 x_{29} & -0.62 x_{12} & +  0.98 x_{13} & +  0.05 x_{22} & +  0.01 x_{15}\\
 x_{8}   &  2.18483238304 & -0.08 x_{27} & +  0.12 x_{21} & -0.04 x_{25} & -0.63 x_{1} & +  1.19 x_{3} & +  0.07 x_{24} & +  0.02 x_{30} & -0.05 x_{28} & -0.01 x_{18} & +  0.27 x_{6} & -0.21 x_{29} & -0.42 x_{12} & +  0.33 x_{13} & +  0.24 x_{22} & +  0.64 x_{15}\\
 x_{11}   &  0.626928188798 & -0.01 x_{27} & +  0.08 x_{21} & -0.08 x_{25} & +  0.66 x_{1} & +  1.50 x_{3} & +  0.07 x_{24} & +  0.01 x_{30} & -0.05 x_{28} & -0.04 x_{18} & +  0.30 x_{6} & -0.17 x_{29} & -0.69 x_{12} & -0.52 x_{13} & +  0.14 x_{22} & +  1.46 x_{15}\\
 x_{9}   &  3.51217930112 & -0.07 x_{27} & +  0.11 x_{21} & -0.08 x_{25} & -0.31 x_{1} & +  1.94 x_{3} & +  0.04 x_{24} & +  0.10 x_{30} & -0.04 x_{28} & +  0.05 x_{18} & +  0.37 x_{6} & -0.21 x_{29} & +  0.19 x_{12} & +  1.46 x_{13} & +  0.30 x_{22} & +  0.25 x_{15}\\
\hline
z    &  -2.18683133623 & -0.45 x_{27} & +  0.48 x_{21} & +  0.28 x_{25} & -11.80 x_{1} & -11.14 x_{3} & +  0.17 x_{24} & +  0.09 x_{30} & -0.05 x_{28} & +  0.58 x_{18} & -2.51 x_{6} & -0.59 x_{29} & +  8.68 x_{12} & -3.61 x_{13} & +  0.45 x_{22} & -8.38 x_{15}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  50.0148355394 & +  1.27 x_{27} & -0.34 x_{21} & +  0.42 x_{25} & +  2.43 x_{1} & +  4.77 x_{3} & +  0.49 x_{24} & -1.43 x_{30} & +  0.21 x_{28} & -1.00 x_{18} & -19.95 x_{6} & +  0.79 x_{29} & -15.49 x_{11} & -29.73 x_{13} & -1.95 x_{22} & + 10.07 x_{15}\\
 x_{17}   &  39.2285866159 & +  1.11 x_{27} & -1.91 x_{21} & +  0.59 x_{25} & + 14.35 x_{1} & -8.75 x_{3} & -1.84 x_{24} & +  0.08 x_{30} & +  0.02 x_{28} & -0.09 x_{18} & -9.83 x_{6} & +  3.08 x_{29} & +  0.50 x_{11} & +  7.08 x_{13} & -2.90 x_{22} & -24.04 x_{15}\\
 x_{7}   &  2.21408263508 & -0.01 x_{27} & +  0.08 x_{21} & -0.04 x_{25} & -0.01 x_{1} & +  0.03 x_{3} & +  0.04 x_{24} & +  0.00 x_{30} & -0.05 x_{28} & +  0.01 x_{18} & -0.14 x_{6} & -0.09 x_{29} & -0.53 x_{11} & -0.92 x_{13} & +  0.07 x_{22} & +  0.80 x_{15}\\
 x_{19}   &  22.3483155673 & +  0.14 x_{27} & -0.13 x_{21} & +  0.78 x_{25} & -13.29 x_{1} & -13.41 x_{3} & +  0.08 x_{24} & -0.59 x_{30} & +  0.25 x_{28} & -0.25 x_{18} & -6.89 x_{6} & +  1.23 x_{29} & +  6.26 x_{11} & -25.06 x_{13} & -2.01 x_{22} & -2.58 x_{15}\\
 x_{20}   &  32.1908362594 & +  1.54 x_{27} & -0.60 x_{21} & +  0.06 x_{25} & + 27.05 x_{1} & -11.59 x_{3} & +  1.23 x_{24} & -1.70 x_{30} & -0.15 x_{28} & -1.70 x_{18} & -20.27 x_{6} & +  1.98 x_{29} & -11.21 x_{11} & -41.74 x_{13} & -3.55 x_{22} & + 16.19 x_{15}\\
 x_{14}   &  0.993778128526 & +  0.03 x_{27} & +  0.03 x_{21} & -0.02 x_{25} & +  1.49 x_{1} & +  0.09 x_{3} & +  0.06 x_{24} & -0.01 x_{30} & -0.04 x_{28} & -0.07 x_{18} & -0.06 x_{6} & -0.01 x_{29} & -0.68 x_{11} & -1.10 x_{13} & -0.03 x_{22} & +  1.03 x_{15}\\
 x_{2}   &  1.7810332565 & +  0.04 x_{27} & +  0.02 x_{21} & -0.01 x_{25} & +  0.25 x_{1} & -0.01 x_{3} & +  0.06 x_{24} & -0.08 x_{30} & +  0.03 x_{28} & -0.06 x_{18} & -0.45 x_{6} & +  0.03 x_{29} & -0.61 x_{11} & -1.90 x_{13} & -0.08 x_{22} & +  1.47 x_{15}\\
 x_{23}   &  21.2826952586 & +  1.61 x_{27} & -2.56 x_{21} & +  1.31 x_{25} & -0.52 x_{1} & -11.54 x_{3} & -1.79 x_{24} & -0.50 x_{30} & +  0.71 x_{28} & +  0.56 x_{18} & -19.12 x_{6} & +  3.46 x_{29} & + 18.12 x_{11} & +  2.14 x_{13} & -3.42 x_{22} & -18.69 x_{15}\\
 x_{5}   &  0.413759009092 & +  0.07 x_{27} & -0.09 x_{21} & +  0.07 x_{25} & +  0.30 x_{1} & -0.93 x_{3} & -0.14 x_{24} & -0.00 x_{30} & +  0.01 x_{28} & +  0.03 x_{18} & -0.39 x_{6} & +  0.15 x_{29} & +  0.84 x_{11} & +  1.14 x_{13} & -0.12 x_{22} & -1.06 x_{15}\\
 x_{10}   &  1.15346523887 & -0.01 x_{27} & +  0.10 x_{21} & -0.02 x_{25} & -0.17 x_{1} & +  0.49 x_{3} & +  0.05 x_{24} & +  0.01 x_{30} & -0.03 x_{28} & -0.02 x_{18} & +  0.17 x_{6} & -0.15 x_{29} & -0.96 x_{11} & -0.54 x_{13} & +  0.09 x_{22} & +  1.03 x_{15}\\
 x_{26}   &  14.8278937574 & -0.10 x_{27} & +  0.64 x_{21} & -0.13 x_{25} & -8.34 x_{1} & +  1.89 x_{3} & +  0.54 x_{24} & +  0.04 x_{30} & +  0.49 x_{28} & -0.01 x_{18} & -1.90 x_{6} & -0.65 x_{29} & -3.34 x_{11} & -2.38 x_{13} & +  0.57 x_{22} & + 15.33 x_{15}\\
 x_{4}   &  0.366927956218 & -0.02 x_{27} & -0.06 x_{21} & +  0.03 x_{25} & -0.61 x_{1} & -0.78 x_{3} & -0.11 x_{24} & +  0.02 x_{30} & +  0.05 x_{28} & +  0.03 x_{18} & +  0.49 x_{6} & +  0.12 x_{29} & +  0.89 x_{11} & +  1.45 x_{13} & -0.07 x_{22} & -1.29 x_{15}\\
 x_{8}   &  1.80739795833 & -0.08 x_{27} & +  0.06 x_{21} & +  0.01 x_{25} & -1.03 x_{1} & +  0.29 x_{3} & +  0.03 x_{24} & +  0.02 x_{30} & -0.02 x_{28} & +  0.02 x_{18} & +  0.09 x_{6} & -0.11 x_{29} & +  0.60 x_{11} & +  0.64 x_{13} & +  0.15 x_{22} & -0.24 x_{15}\\
 x_{12}   &  0.90931303909 & -0.01 x_{27} & +  0.12 x_{21} & -0.12 x_{25} & +  0.96 x_{1} & +  2.17 x_{3} & +  0.11 x_{24} & +  0.01 x_{30} & -0.07 x_{28} & -0.06 x_{18} & +  0.44 x_{6} & -0.24 x_{29} & -1.45 x_{11} & -0.76 x_{13} & +  0.20 x_{22} & +  2.12 x_{15}\\
 x_{9}   &  3.68724225123 & -0.07 x_{27} & +  0.13 x_{21} & -0.10 x_{25} & -0.12 x_{1} & +  2.36 x_{3} & +  0.06 x_{24} & +  0.10 x_{30} & -0.05 x_{28} & +  0.03 x_{18} & +  0.46 x_{6} & -0.26 x_{29} & -0.28 x_{11} & +  1.31 x_{13} & +  0.34 x_{22} & +  0.66 x_{15}\\
\hline
z    &  5.70896248024 & -0.58 x_{27} & +  1.54 x_{21} & -0.74 x_{25} & -3.46 x_{1} & +  7.69 x_{3} & +  1.10 x_{24} & +  0.16 x_{30} & -0.64 x_{28} & +  0.03 x_{18} & +  1.33 x_{6} & -2.68 x_{29} & -12.59 x_{11} & -10.20 x_{13} & +  2.22 x_{22} & + 10.06 x_{15}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  52.1335013819 & +  1.62 x_{27} & -0.82 x_{21} & +  0.76 x_{25} & +  3.94 x_{1} & -5.12 x_{5} & -0.22 x_{24} & -1.44 x_{30} & +  0.24 x_{28} & -0.84 x_{18} & -21.95 x_{6} & +  1.54 x_{29} & -11.17 x_{11} & -23.89 x_{13} & -2.56 x_{22} & +  4.63 x_{15}\\
 x_{17}   &  35.343711436 & +  0.46 x_{27} & -1.02 x_{21} & -0.03 x_{25} & + 11.57 x_{1} & +  9.39 x_{5} & -0.55 x_{24} & +  0.09 x_{30} & -0.03 x_{28} & -0.39 x_{18} & -6.16 x_{6} & +  1.71 x_{29} & -7.42 x_{11} & -3.61 x_{13} & -1.78 x_{22} & -14.07 x_{15}\\
 x_{7}   &  2.22610145486 & -0.00 x_{27} & +  0.08 x_{21} & -0.04 x_{25} & +  0.00 x_{1} & -0.03 x_{5} & +  0.03 x_{24} & +  0.00 x_{30} & -0.05 x_{28} & +  0.02 x_{18} & -0.16 x_{6} & -0.09 x_{29} & -0.51 x_{11} & -0.89 x_{13} & +  0.06 x_{22} & +  0.77 x_{15}\\
 x_{19}   &  16.3929568554 & -0.86 x_{27} & +  1.23 x_{21} & -0.18 x_{25} & -17.55 x_{1} & + 14.39 x_{5} & +  2.06 x_{24} & -0.56 x_{30} & +  0.17 x_{28} & -0.70 x_{18} & -1.26 x_{6} & -0.87 x_{29} & -5.87 x_{11} & -41.46 x_{13} & -0.29 x_{22} & + 12.71 x_{15}\\
 x_{20}   &  27.0433376185 & +  0.68 x_{27} & +  0.58 x_{21} & -0.76 x_{25} & + 23.37 x_{1} & + 12.44 x_{5} & +  2.94 x_{24} & -1.68 x_{30} & -0.22 x_{28} & -2.09 x_{18} & -15.40 x_{6} & +  0.17 x_{29} & -21.70 x_{11} & -55.91 x_{13} & -2.06 x_{22} & + 29.41 x_{15}\\
 x_{14}   &  1.03233916071 & +  0.03 x_{27} & +  0.02 x_{21} & -0.01 x_{25} & +  1.52 x_{1} & -0.09 x_{5} & +  0.05 x_{24} & -0.01 x_{30} & -0.04 x_{28} & -0.07 x_{18} & -0.09 x_{6} & +  0.00 x_{29} & -0.61 x_{11} & -0.99 x_{13} & -0.04 x_{22} & +  0.93 x_{15}\\
 x_{2}   &  1.77863110364 & +  0.04 x_{27} & +  0.02 x_{21} & -0.01 x_{25} & +  0.25 x_{1} & +  0.01 x_{5} & +  0.06 x_{24} & -0.08 x_{30} & +  0.03 x_{28} & -0.06 x_{18} & -0.44 x_{6} & +  0.03 x_{29} & -0.61 x_{11} & -1.90 x_{13} & -0.08 x_{22} & +  1.48 x_{15}\\
 x_{23}   &  16.1574188478 & +  0.75 x_{27} & -1.39 x_{21} & +  0.49 x_{25} & -4.18 x_{1} & + 12.39 x_{5} & -0.08 x_{24} & -0.48 x_{30} & +  0.64 x_{28} & +  0.17 x_{18} & -14.27 x_{6} & +  1.66 x_{29} & +  7.68 x_{11} & -11.97 x_{13} & -1.94 x_{22} & -5.53 x_{15}\\
 x_{3}   &  0.44397572441 & +  0.07 x_{27} & -0.10 x_{21} & +  0.07 x_{25} & +  0.32 x_{1} & -1.07 x_{5} & -0.15 x_{24} & -0.00 x_{30} & +  0.01 x_{28} & +  0.03 x_{18} & -0.42 x_{6} & +  0.16 x_{29} & +  0.90 x_{11} & +  1.22 x_{13} & -0.13 x_{22} & -1.14 x_{15}\\
 x_{10}   &  1.36885199722 & +  0.03 x_{27} & +  0.05 x_{21} & +  0.01 x_{25} & -0.01 x_{1} & -0.52 x_{5} & -0.02 x_{24} & +  0.01 x_{30} & -0.02 x_{28} & -0.01 x_{18} & -0.04 x_{6} & -0.08 x_{29} & -0.52 x_{11} & +  0.05 x_{13} & +  0.02 x_{22} & +  0.47 x_{15}\\
 x_{26}   &  15.6667473269 & +  0.04 x_{27} & +  0.45 x_{21} & +  0.01 x_{25} & -7.74 x_{1} & -2.03 x_{5} & +  0.26 x_{24} & +  0.04 x_{30} & +  0.50 x_{28} & +  0.05 x_{18} & -2.69 x_{6} & -0.36 x_{29} & -1.63 x_{11} & -0.07 x_{13} & +  0.33 x_{22} & + 13.18 x_{15}\\
 x_{4}   &  0.0217791495094 & -0.08 x_{27} & +  0.01 x_{21} & -0.03 x_{25} & -0.86 x_{1} & +  0.83 x_{5} & +  0.00 x_{24} & +  0.02 x_{30} & +  0.04 x_{28} & -0.00 x_{18} & +  0.82 x_{6} & -0.01 x_{29} & +  0.19 x_{11} & +  0.50 x_{13} & +  0.03 x_{22} & -0.41 x_{15}\\
 x_{8}   &  1.93544811418 & -0.06 x_{27} & +  0.04 x_{21} & +  0.03 x_{25} & -0.93 x_{1} & -0.31 x_{5} & -0.02 x_{24} & +  0.02 x_{30} & -0.02 x_{28} & +  0.03 x_{18} & -0.03 x_{6} & -0.06 x_{29} & +  0.86 x_{11} & +  0.99 x_{13} & +  0.12 x_{22} & -0.57 x_{15}\\
 x_{12}   &  1.87233450572 & +  0.15 x_{27} & -0.10 x_{21} & +  0.04 x_{25} & +  1.65 x_{1} & -2.33 x_{5} & -0.21 x_{24} & +  0.00 x_{30} & -0.06 x_{28} & +  0.01 x_{18} & -0.47 x_{6} & +  0.10 x_{29} & +  0.51 x_{11} & +  1.89 x_{13} & -0.08 x_{22} & -0.35 x_{15}\\
 x_{9}   &  4.73493649159 & +  0.10 x_{27} & -0.11 x_{21} & +  0.07 x_{25} & +  0.63 x_{1} & -2.53 x_{5} & -0.29 x_{24} & +  0.10 x_{30} & -0.04 x_{28} & +  0.11 x_{18} & -0.53 x_{6} & +  0.11 x_{29} & +  1.85 x_{11} & +  4.20 x_{13} & +  0.04 x_{22} & -2.03 x_{15}\\
\hline
z    &  9.12523434549 & -0.00 x_{27} & +  0.76 x_{21} & -0.19 x_{25} & -1.01 x_{1} & -8.26 x_{5} & -0.04 x_{24} & +  0.14 x_{30} & -0.59 x_{28} & +  0.29 x_{18} & -1.90 x_{6} & -1.48 x_{29} & -5.64 x_{11} & -0.79 x_{13} & +  1.23 x_{22} & +  1.29 x_{15}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  52.3814817366 & +  0.75 x_{27} & -0.66 x_{21} & +  0.44 x_{25} & -5.86 x_{1} & +  4.38 x_{5} & -0.19 x_{24} & -1.17 x_{30} & +  0.71 x_{28} & -0.85 x_{18} & -12.67 x_{6} & +  1.48 x_{29} & -9.01 x_{11} & -18.25 x_{13} & -2.27 x_{22} & -11.39 x_{4}\\
 x_{17}   &  34.5899139843 & +  3.11 x_{27} & -1.52 x_{21} & +  0.94 x_{25} & + 41.38 x_{1} & -19.48 x_{5} & -0.64 x_{24} & -0.72 x_{30} & -1.46 x_{28} & -0.35 x_{18} & -34.37 x_{6} & +  1.88 x_{29} & -14.00 x_{11} & -20.78 x_{13} & -2.68 x_{22} & + 34.61 x_{4}\\
 x_{7}   &  2.26720603653 & -0.15 x_{27} & +  0.11 x_{21} & -0.10 x_{25} & -1.62 x_{1} & +  1.55 x_{5} & +  0.04 x_{24} & +  0.05 x_{30} & +  0.03 x_{28} & +  0.01 x_{18} & +  1.38 x_{6} & -0.10 x_{29} & -0.15 x_{11} & +  0.05 x_{13} & +  0.11 x_{22} & -1.89 x_{4}\\
 x_{19}   &  17.0739333807 & -3.26 x_{27} & +  1.68 x_{21} & -1.06 x_{25} & -44.47 x_{1} & + 40.48 x_{5} & +  2.15 x_{24} & +  0.17 x_{30} & +  1.46 x_{28} & -0.73 x_{18} & + 24.23 x_{6} & -1.03 x_{29} & +  0.08 x_{11} & -25.95 x_{13} & +  0.52 x_{22} & -31.27 x_{4}\\
 x_{20}   &  28.6188531169 & -4.87 x_{27} & +  1.62 x_{21} & -2.80 x_{25} & -38.92 x_{1} & + 72.79 x_{5} & +  3.13 x_{24} & +  0.03 x_{30} & +  2.77 x_{28} & -2.16 x_{18} & + 43.58 x_{6} & -0.20 x_{29} & -7.94 x_{11} & -20.03 x_{13} & -0.18 x_{22} & -72.34 x_{4}\\
 x_{14}   &  1.08240173514 & -0.14 x_{27} & +  0.05 x_{21} & -0.08 x_{25} & -0.46 x_{1} & +  1.82 x_{5} & +  0.05 x_{24} & +  0.05 x_{30} & +  0.05 x_{28} & -0.07 x_{18} & +  1.78 x_{6} & -0.01 x_{29} & -0.17 x_{11} & +  0.15 x_{13} & +  0.02 x_{22} & -2.30 x_{4}\\
 x_{2}   &  1.85797429805 & -0.24 x_{27} & +  0.07 x_{21} & -0.12 x_{25} & -2.88 x_{1} & +  3.04 x_{5} & +  0.07 x_{24} & +  0.01 x_{30} & +  0.18 x_{28} & -0.06 x_{18} & +  2.53 x_{6} & +  0.01 x_{29} & +  0.08 x_{11} & -0.10 x_{13} & +  0.01 x_{22} & -3.64 x_{4}\\
 x_{23}   &  15.8608762926 & +  1.79 x_{27} & -1.58 x_{21} & +  0.88 x_{25} & +  7.54 x_{1} & +  1.03 x_{5} & -0.12 x_{24} & -0.80 x_{30} & +  0.08 x_{28} & +  0.18 x_{18} & -25.37 x_{6} & +  1.73 x_{29} & +  5.09 x_{11} & -18.73 x_{13} & -2.29 x_{22} & + 13.62 x_{4}\\
 x_{3}   &  0.382900916522 & +  0.29 x_{27} & -0.14 x_{21} & +  0.15 x_{25} & +  2.73 x_{1} & -3.41 x_{5} & -0.16 x_{24} & -0.07 x_{30} & -0.11 x_{28} & +  0.04 x_{18} & -2.71 x_{6} & +  0.17 x_{29} & +  0.37 x_{11} & -0.17 x_{13} & -0.20 x_{22} & +  2.80 x_{4}\\
 x_{10}   &  1.39417972086 & -0.06 x_{27} & +  0.07 x_{21} & -0.02 x_{25} & -1.01 x_{1} & +  0.45 x_{5} & -0.01 x_{24} & +  0.04 x_{30} & +  0.03 x_{28} & -0.01 x_{18} & +  0.91 x_{6} & -0.08 x_{29} & -0.30 x_{11} & +  0.63 x_{13} & +  0.05 x_{22} & -1.16 x_{4}\\
 x_{26}   &  16.3728555345 & -2.45 x_{27} & +  0.92 x_{21} & -0.91 x_{25} & -35.66 x_{1} & + 25.02 x_{5} & +  0.35 x_{24} & +  0.80 x_{30} & +  1.84 x_{28} & +  0.02 x_{18} & + 23.74 x_{6} & -0.53 x_{29} & +  4.53 x_{11} & + 16.01 x_{13} & +  1.17 x_{22} & -32.42 x_{4}\\
 x_{15}   &  0.0535759487197 & -0.19 x_{27} & +  0.04 x_{21} & -0.07 x_{25} & -2.12 x_{1} & +  2.05 x_{5} & +  0.01 x_{24} & +  0.06 x_{30} & +  0.10 x_{28} & -0.00 x_{18} & +  2.01 x_{6} & -0.01 x_{29} & +  0.47 x_{11} & +  1.22 x_{13} & +  0.06 x_{22} & -2.46 x_{4}\\
 x_{8}   &  1.90496834208 & +  0.05 x_{27} & +  0.02 x_{21} & +  0.07 x_{25} & +  0.27 x_{1} & -1.48 x_{5} & -0.02 x_{24} & -0.01 x_{30} & -0.08 x_{28} & +  0.03 x_{18} & -1.17 x_{6} & -0.05 x_{29} & +  0.60 x_{11} & +  0.30 x_{13} & +  0.08 x_{22} & +  1.40 x_{4}\\
 x_{12}   &  1.85360043468 & +  0.21 x_{27} & -0.11 x_{21} & +  0.06 x_{25} & +  2.39 x_{1} & -3.05 x_{5} & -0.22 x_{24} & -0.02 x_{30} & -0.09 x_{28} & +  0.01 x_{18} & -1.17 x_{6} & +  0.10 x_{29} & +  0.35 x_{11} & +  1.47 x_{13} & -0.10 x_{22} & +  0.86 x_{4}\\
 x_{9}   &  4.62605073499 & +  0.49 x_{27} & -0.18 x_{21} & +  0.21 x_{25} & +  4.93 x_{1} & -6.70 x_{5} & -0.30 x_{24} & -0.02 x_{30} & -0.24 x_{28} & +  0.12 x_{18} & -4.61 x_{6} & +  0.14 x_{29} & +  0.90 x_{11} & +  1.72 x_{13} & -0.09 x_{22} & +  5.00 x_{4}\\
\hline
z    &  9.19409301412 & -0.24 x_{27} & +  0.80 x_{21} & -0.28 x_{25} & -3.73 x_{1} & -5.62 x_{5} & -0.03 x_{24} & +  0.22 x_{30} & -0.46 x_{28} & +  0.29 x_{18} & +  0.68 x_{6} & -1.50 x_{29} & -5.03 x_{11} & +  0.78 x_{13} & +  1.31 x_{22} & -3.16 x_{4}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  50.588943851 & -0.60 x_{27} & +  0.01 x_{21} & -0.27 x_{25} & -18.65 x_{1} & + 20.35 x_{5} & +  0.54 x_{24} & -0.85 x_{30} & +  1.22 x_{28} & -1.02 x_{18} & +  4.68 x_{3} & +  0.68 x_{29} & -10.75 x_{11} & -17.46 x_{13} & -1.32 x_{22} & -24.51 x_{4}\\
 x_{17}   &  29.7260416738 & -0.57 x_{27} & +  0.28 x_{21} & -0.96 x_{25} & +  6.67 x_{1} & + 23.86 x_{5} & +  1.33 x_{24} & +  0.14 x_{30} & -0.07 x_{28} & -0.82 x_{18} & + 12.70 x_{3} & -0.29 x_{29} & -18.71 x_{11} & -18.64 x_{13} & -0.12 x_{22} & -1.01 x_{4}\\
 x_{7}   &  2.46287875972 & -0.00 x_{27} & +  0.04 x_{21} & -0.02 x_{25} & -0.23 x_{1} & -0.20 x_{5} & -0.04 x_{24} & +  0.01 x_{30} & -0.02 x_{28} & +  0.03 x_{18} & -0.51 x_{3} & -0.01 x_{29} & +  0.04 x_{11} & -0.04 x_{13} & +  0.01 x_{22} & -0.45 x_{4}\\
 x_{19}   &  20.5021111135 & -0.67 x_{27} & +  0.41 x_{21} & +  0.29 x_{25} & -20.01 x_{1} & +  9.92 x_{5} & +  0.76 x_{24} & -0.44 x_{30} & +  0.47 x_{28} & -0.40 x_{18} & -8.95 x_{3} & +  0.50 x_{29} & +  3.40 x_{11} & -27.45 x_{13} & -1.28 x_{22} & -6.16 x_{4}\\
 x_{20}   &  34.7849073144 & -0.20 x_{27} & -0.67 x_{21} & -0.39 x_{25} & +  5.08 x_{1} & + 17.84 x_{5} & +  0.63 x_{24} & -1.07 x_{30} & +  1.01 x_{28} & -1.57 x_{18} & -16.10 x_{3} & +  2.55 x_{29} & -1.97 x_{11} & -22.74 x_{13} & -3.42 x_{22} & -27.18 x_{4}\\
 x_{14}   &  1.33442437006 & +  0.05 x_{27} & -0.04 x_{21} & +  0.02 x_{25} & +  1.33 x_{1} & -0.42 x_{5} & -0.05 x_{24} & +  0.00 x_{30} & -0.02 x_{28} & -0.05 x_{18} & -0.66 x_{3} & +  0.11 x_{29} & +  0.08 x_{11} & +  0.04 x_{13} & -0.11 x_{22} & -0.45 x_{4}\\
 x_{2}   &  2.21551758987 & +  0.03 x_{27} & -0.06 x_{21} & +  0.02 x_{25} & -0.33 x_{1} & -0.14 x_{5} & -0.07 x_{24} & -0.06 x_{30} & +  0.08 x_{28} & -0.03 x_{18} & -0.93 x_{3} & +  0.17 x_{29} & +  0.43 x_{11} & -0.26 x_{13} & -0.17 x_{22} & -1.02 x_{4}\\
 x_{23}   &  12.270456455 & -0.92 x_{27} & -0.26 x_{21} & -0.53 x_{25} & -18.08 x_{1} & + 33.03 x_{5} & +  1.33 x_{24} & -0.16 x_{30} & +  1.11 x_{28} & -0.16 x_{18} & +  9.38 x_{3} & +  0.12 x_{29} & +  1.61 x_{11} & -17.15 x_{13} & -0.40 x_{22} & -12.68 x_{4}\\
 x_{6}   &  0.141500445474 & +  0.11 x_{27} & -0.05 x_{21} & +  0.06 x_{25} & +  1.01 x_{1} & -1.26 x_{5} & -0.06 x_{24} & -0.03 x_{30} & -0.04 x_{28} & +  0.01 x_{18} & -0.37 x_{3} & +  0.06 x_{29} & +  0.14 x_{11} & -0.06 x_{13} & -0.07 x_{22} & +  1.04 x_{4}\\
 x_{10}   &  1.52311902781 & +  0.04 x_{27} & +  0.02 x_{21} & +  0.03 x_{25} & -0.09 x_{1} & -0.70 x_{5} & -0.07 x_{24} & +  0.02 x_{30} & -0.01 x_{28} & +  0.01 x_{18} & -0.34 x_{3} & -0.02 x_{29} & -0.18 x_{11} & +  0.57 x_{13} & -0.01 x_{22} & -0.22 x_{4}\\
 x_{26}   &  19.7321743885 & +  0.09 x_{27} & -0.33 x_{21} & +  0.41 x_{25} & -11.69 x_{1} & -4.92 x_{5} & -1.01 x_{24} & +  0.20 x_{30} & +  0.87 x_{28} & +  0.34 x_{18} & -8.77 x_{3} & +  0.97 x_{29} & +  7.79 x_{11} & + 14.53 x_{13} & -0.60 x_{22} & -7.82 x_{4}\\
 x_{15}   &  0.337366819078 & +  0.03 x_{27} & -0.07 x_{21} & +  0.04 x_{25} & -0.09 x_{1} & -0.48 x_{5} & -0.11 x_{24} & +  0.01 x_{30} & +  0.02 x_{28} & +  0.02 x_{18} & -0.74 x_{3} & +  0.11 x_{29} & +  0.74 x_{11} & +  1.10 x_{13} & -0.09 x_{22} & -0.38 x_{4}\\
 x_{8}   &  1.7389153907 & -0.08 x_{27} & +  0.08 x_{21} & +  0.00 x_{25} & -0.91 x_{1} & +  0.00 x_{5} & +  0.05 x_{24} & +  0.02 x_{30} & -0.03 x_{28} & +  0.01 x_{18} & +  0.43 x_{3} & -0.13 x_{29} & +  0.44 x_{11} & +  0.37 x_{13} & +  0.17 x_{22} & +  0.18 x_{4}\\
 x_{12}   &  1.68803692039 & +  0.09 x_{27} & -0.05 x_{21} & -0.00 x_{25} & +  1.21 x_{1} & -1.57 x_{5} & -0.15 x_{24} & +  0.01 x_{30} & -0.04 x_{28} & -0.00 x_{18} & +  0.43 x_{3} & +  0.03 x_{29} & +  0.19 x_{11} & +  1.54 x_{13} & -0.01 x_{22} & -0.35 x_{4}\\
 x_{9}   &  3.97414510481 & -0.01 x_{27} & +  0.06 x_{21} & -0.05 x_{25} & +  0.28 x_{1} & -0.89 x_{5} & -0.04 x_{24} & +  0.09 x_{30} & -0.06 x_{28} & +  0.06 x_{18} & +  1.70 x_{3} & -0.15 x_{29} & +  0.27 x_{11} & +  2.00 x_{13} & +  0.25 x_{22} & +  0.23 x_{4}\\
\hline
z    &  9.28962240133 & -0.17 x_{27} & +  0.77 x_{21} & -0.25 x_{25} & -3.05 x_{1} & -6.47 x_{5} & -0.07 x_{24} & +  0.20 x_{30} & -0.49 x_{28} & +  0.30 x_{18} & -0.25 x_{3} & -1.45 x_{29} & -4.94 x_{11} & +  0.74 x_{13} & +  1.26 x_{22} & -2.46 x_{4}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{23} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  38.0963173125 & +  0.33 x_{27} & +  0.27 x_{21} & +  0.27 x_{25} & -0.24 x_{1} & -13.27 x_{5} & -0.82 x_{24} & -0.69 x_{30} & +  0.10 x_{28} & -0.86 x_{18} & -4.87 x_{3} & +  0.55 x_{29} & -12.39 x_{11} & +  1.02 x_{23} & -0.92 x_{22} & -11.61 x_{4}\\
 x_{17}   &  16.3857140755 & +  0.43 x_{27} & +  0.56 x_{21} & -0.39 x_{25} & + 26.33 x_{1} & -12.04 x_{5} & -0.12 x_{24} & +  0.32 x_{30} & -1.27 x_{28} & -0.64 x_{18} & +  2.51 x_{3} & -0.42 x_{29} & -20.47 x_{11} & +  1.09 x_{23} & +  0.32 x_{22} & + 12.77 x_{4}\\
 x_{7}   &  2.43421933399 & +  0.00 x_{27} & +  0.04 x_{21} & -0.02 x_{25} & -0.19 x_{1} & -0.28 x_{5} & -0.05 x_{24} & +  0.01 x_{30} & -0.03 x_{28} & +  0.03 x_{18} & -0.53 x_{3} & -0.01 x_{29} & +  0.04 x_{11} & +  0.00 x_{23} & +  0.01 x_{22} & -0.42 x_{4}\\
 x_{19}   &  0.855615532748 & +  0.80 x_{27} & +  0.82 x_{21} & +  1.13 x_{25} & +  8.94 x_{1} & -42.95 x_{5} & -1.38 x_{24} & -0.18 x_{30} & -1.30 x_{28} & -0.14 x_{18} & -23.97 x_{3} & +  0.30 x_{29} & +  0.82 x_{11} & +  1.60 x_{23} & -0.64 x_{22} & + 14.14 x_{4}\\
 x_{20}   &  18.5092979383 & +  1.01 x_{27} & -0.33 x_{21} & +  0.31 x_{25} & + 29.06 x_{1} & -25.97 x_{5} & -1.14 x_{24} & -0.86 x_{30} & -0.46 x_{28} & -1.36 x_{18} & -28.54 x_{3} & +  2.38 x_{29} & -4.11 x_{11} & +  1.33 x_{23} & -2.89 x_{22} & -10.36 x_{4}\\
 x_{14}   &  1.3623565238 & +  0.05 x_{27} & -0.04 x_{21} & +  0.02 x_{25} & +  1.29 x_{1} & -0.35 x_{5} & -0.05 x_{24} & +  0.00 x_{30} & -0.02 x_{28} & -0.05 x_{18} & -0.64 x_{3} & +  0.11 x_{29} & +  0.08 x_{11} & -0.00 x_{23} & -0.11 x_{22} & -0.48 x_{4}\\
 x_{2}   &  2.03300859915 & +  0.04 x_{27} & -0.06 x_{21} & +  0.03 x_{25} & -0.06 x_{1} & -0.63 x_{5} & -0.09 x_{24} & -0.05 x_{30} & +  0.06 x_{28} & -0.03 x_{18} & -1.07 x_{3} & +  0.17 x_{29} & +  0.40 x_{11} & +  0.01 x_{23} & -0.17 x_{22} & -0.84 x_{4}\\
 x_{13}   &  0.715600491689 & -0.05 x_{27} & -0.01 x_{21} & -0.03 x_{25} & -1.05 x_{1} & +  1.93 x_{5} & +  0.08 x_{24} & -0.01 x_{30} & +  0.06 x_{28} & -0.01 x_{18} & +  0.55 x_{3} & +  0.01 x_{29} & +  0.09 x_{11} & -0.06 x_{23} & -0.02 x_{22} & -0.74 x_{4}\\
 x_{6}   &  0.0969451920107 & +  0.11 x_{27} & -0.05 x_{21} & +  0.06 x_{25} & +  1.08 x_{1} & -1.38 x_{5} & -0.06 x_{24} & -0.02 x_{30} & -0.04 x_{28} & +  0.01 x_{18} & -0.40 x_{3} & +  0.06 x_{29} & +  0.13 x_{11} & +  0.00 x_{23} & -0.07 x_{22} & +  1.08 x_{4}\\
 x_{10}   &  1.93025528791 & +  0.01 x_{27} & +  0.01 x_{21} & +  0.01 x_{25} & -0.69 x_{1} & +  0.40 x_{5} & -0.02 x_{24} & +  0.01 x_{30} & +  0.03 x_{28} & +  0.00 x_{18} & -0.03 x_{3} & -0.02 x_{29} & -0.12 x_{11} & -0.03 x_{23} & -0.03 x_{22} & -0.64 x_{4}\\
 x_{26}   &  30.1330799528 & -0.69 x_{27} & -0.55 x_{21} & -0.04 x_{25} & -27.01 x_{1} & + 23.07 x_{5} & +  0.12 x_{24} & +  0.07 x_{30} & +  1.81 x_{28} & +  0.20 x_{18} & -0.83 x_{3} & +  1.08 x_{29} & +  9.16 x_{11} & -0.85 x_{23} & -0.93 x_{22} & -18.57 x_{4}\\
 x_{15}   &  1.12120627534 & -0.03 x_{27} & -0.09 x_{21} & +  0.01 x_{25} & -1.25 x_{1} & +  1.63 x_{5} & -0.02 x_{24} & -0.00 x_{30} & +  0.09 x_{28} & +  0.01 x_{18} & -0.14 x_{3} & +  0.12 x_{29} & +  0.85 x_{11} & -0.06 x_{23} & -0.11 x_{22} & -1.19 x_{4}\\
 x_{8}   &  2.00629089183 & -0.10 x_{27} & +  0.07 x_{21} & -0.01 x_{25} & -1.31 x_{1} & +  0.72 x_{5} & +  0.08 x_{24} & +  0.01 x_{30} & -0.00 x_{28} & +  0.01 x_{18} & +  0.64 x_{3} & -0.13 x_{29} & +  0.47 x_{11} & -0.02 x_{23} & +  0.16 x_{22} & -0.09 x_{4}\\
 x_{12}   &  2.78994091517 & +  0.01 x_{27} & -0.07 x_{21} & -0.05 x_{25} & -0.41 x_{1} & +  1.40 x_{5} & -0.03 x_{24} & -0.00 x_{30} & +  0.06 x_{28} & -0.02 x_{18} & +  1.27 x_{3} & +  0.04 x_{29} & +  0.33 x_{11} & -0.09 x_{23} & -0.05 x_{22} & -1.49 x_{4}\\
 x_{9}   &  5.40695897417 & -0.11 x_{27} & +  0.03 x_{21} & -0.11 x_{25} & -1.83 x_{1} & +  2.96 x_{5} & +  0.12 x_{24} & +  0.07 x_{30} & +  0.07 x_{28} & +  0.04 x_{18} & +  2.80 x_{3} & -0.14 x_{29} & +  0.46 x_{11} & -0.12 x_{23} & +  0.21 x_{22} & -1.26 x_{4}\\
\hline
z    &  9.81661931533 & -0.21 x_{27} & +  0.76 x_{21} & -0.27 x_{25} & -3.83 x_{1} & -5.05 x_{5} & -0.01 x_{24} & +  0.19 x_{30} & -0.44 x_{28} & +  0.29 x_{18} & +  0.15 x_{3} & -1.45 x_{29} & -4.87 x_{11} & -0.04 x_{23} & +  1.24 x_{22} & -3.01 x_{4}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  37.9226288179 & +  0.17 x_{27} & +  0.10 x_{21} & +  0.04 x_{25} & -2.06 x_{1} & -4.55 x_{5} & -0.54 x_{24} & -0.65 x_{30} & +  0.36 x_{28} & -0.83 x_{18} & +  0.20 x_{19} & +  0.49 x_{29} & -12.56 x_{11} & +  0.69 x_{23} & -0.79 x_{22} & -14.48 x_{4}\\
 x_{17}   &  16.4752580283 & +  0.52 x_{27} & +  0.65 x_{21} & -0.27 x_{25} & + 27.26 x_{1} & -16.54 x_{5} & -0.26 x_{24} & +  0.30 x_{30} & -1.41 x_{28} & -0.65 x_{18} & -0.10 x_{19} & -0.39 x_{29} & -20.38 x_{11} & +  1.25 x_{23} & +  0.25 x_{22} & + 14.25 x_{4}\\
 x_{7}   &  2.41519371551 & -0.02 x_{27} & +  0.02 x_{21} & -0.04 x_{25} & -0.39 x_{1} & +  0.68 x_{5} & -0.02 x_{24} & +  0.02 x_{30} & +  0.00 x_{28} & +  0.04 x_{18} & +  0.02 x_{19} & -0.02 x_{29} & +  0.02 x_{11} & -0.03 x_{23} & +  0.03 x_{22} & -0.74 x_{4}\\
 x_{3}   &  0.0357001583074 & +  0.03 x_{27} & +  0.03 x_{21} & +  0.05 x_{25} & +  0.37 x_{1} & -1.79 x_{5} & -0.06 x_{24} & -0.01 x_{30} & -0.05 x_{28} & -0.01 x_{18} & -0.04 x_{19} & +  0.01 x_{29} & +  0.03 x_{11} & +  0.07 x_{23} & -0.03 x_{22} & +  0.59 x_{4}\\
 x_{20}   &  17.4903765285 & +  0.06 x_{27} & -1.30 x_{21} & -1.03 x_{25} & + 18.42 x_{1} & + 25.18 x_{5} & +  0.50 x_{24} & -0.64 x_{30} & +  1.08 x_{28} & -1.19 x_{18} & +  1.19 x_{19} & +  2.03 x_{29} & -5.08 x_{11} & -0.58 x_{23} & -2.13 x_{22} & -27.20 x_{4}\\
 x_{14}   &  1.33962096691 & +  0.02 x_{27} & -0.06 x_{21} & -0.01 x_{25} & +  1.06 x_{1} & +  0.79 x_{5} & -0.01 x_{24} & +  0.01 x_{30} & +  0.02 x_{28} & -0.04 x_{18} & +  0.03 x_{19} & +  0.10 x_{29} & +  0.06 x_{11} & -0.04 x_{23} & -0.10 x_{22} & -0.86 x_{4}\\
 x_{2}   &  1.99469356579 & +  0.01 x_{27} & -0.09 x_{21} & -0.02 x_{25} & -0.47 x_{1} & +  1.29 x_{5} & -0.03 x_{24} & -0.05 x_{30} & +  0.12 x_{28} & -0.02 x_{18} & +  0.04 x_{19} & +  0.16 x_{29} & +  0.37 x_{11} & -0.06 x_{23} & -0.14 x_{22} & -1.47 x_{4}\\
 x_{13}   &  0.735123146822 & -0.04 x_{27} & +  0.00 x_{21} & -0.00 x_{25} & -0.85 x_{1} & +  0.95 x_{5} & +  0.05 x_{24} & -0.01 x_{30} & +  0.03 x_{28} & -0.01 x_{18} & -0.02 x_{19} & +  0.01 x_{29} & +  0.11 x_{11} & -0.02 x_{23} & -0.04 x_{22} & -0.42 x_{4}\\
 x_{6}   &  0.082536719185 & +  0.10 x_{27} & -0.07 x_{21} & +  0.04 x_{25} & +  0.92 x_{1} & -0.66 x_{5} & -0.04 x_{24} & -0.02 x_{30} & -0.02 x_{28} & +  0.02 x_{18} & +  0.02 x_{19} & +  0.06 x_{29} & +  0.12 x_{11} & -0.02 x_{23} & -0.06 x_{22} & +  0.84 x_{4}\\
 x_{10}   &  1.9293407879 & +  0.01 x_{27} & +  0.01 x_{21} & +  0.01 x_{25} & -0.70 x_{1} & +  0.44 x_{5} & -0.02 x_{24} & +  0.01 x_{30} & +  0.03 x_{28} & +  0.00 x_{18} & +  0.00 x_{19} & -0.02 x_{29} & -0.12 x_{11} & -0.03 x_{23} & -0.03 x_{22} & -0.65 x_{4}\\
 x_{26}   &  30.1036227357 & -0.71 x_{27} & -0.57 x_{21} & -0.08 x_{25} & -27.32 x_{1} & + 24.55 x_{5} & +  0.17 x_{24} & +  0.07 x_{30} & +  1.86 x_{28} & +  0.21 x_{18} & +  0.03 x_{19} & +  1.07 x_{29} & +  9.13 x_{11} & -0.90 x_{23} & -0.91 x_{22} & -19.05 x_{4}\\
 x_{15}   &  1.11613105996 & -0.04 x_{27} & -0.09 x_{21} & +  0.00 x_{25} & -1.30 x_{1} & +  1.89 x_{5} & -0.02 x_{24} & -0.00 x_{30} & +  0.10 x_{28} & +  0.02 x_{18} & +  0.01 x_{19} & +  0.12 x_{29} & +  0.84 x_{11} & -0.07 x_{23} & -0.11 x_{22} & -1.28 x_{4}\\
 x_{8}   &  2.02906741333 & -0.07 x_{27} & +  0.09 x_{21} & +  0.02 x_{25} & -1.07 x_{1} & -0.42 x_{5} & +  0.04 x_{24} & +  0.01 x_{30} & -0.04 x_{28} & +  0.01 x_{18} & -0.03 x_{19} & -0.12 x_{29} & +  0.49 x_{11} & +  0.02 x_{23} & +  0.14 x_{22} & +  0.28 x_{4}\\
 x_{12}   &  2.83543899297 & +  0.05 x_{27} & -0.03 x_{21} & +  0.01 x_{25} & +  0.06 x_{1} & -0.89 x_{5} & -0.10 x_{24} & -0.01 x_{30} & -0.01 x_{28} & -0.03 x_{18} & -0.05 x_{19} & +  0.06 x_{29} & +  0.38 x_{11} & -0.00 x_{23} & -0.08 x_{22} & -0.74 x_{4}\\
 x_{9}   &  5.50682937411 & -0.02 x_{27} & +  0.13 x_{21} & +  0.02 x_{25} & -0.79 x_{1} & -2.05 x_{5} & -0.04 x_{24} & +  0.05 x_{30} & -0.08 x_{28} & +  0.02 x_{18} & -0.12 x_{19} & -0.10 x_{29} & +  0.56 x_{11} & +  0.07 x_{23} & +  0.13 x_{22} & +  0.40 x_{4}\\
\hline
z    &  9.82208980182 & -0.21 x_{27} & +  0.76 x_{21} & -0.26 x_{25} & -3.77 x_{1} & -5.33 x_{5} & -0.02 x_{24} & +  0.19 x_{30} & -0.45 x_{28} & +  0.29 x_{18} & -0.01 x_{19} & -1.45 x_{29} & -4.87 x_{11} & -0.03 x_{23} & +  1.24 x_{22} & -2.92 x_{4}\\
\end{array}\]


 $ x_{18} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  32.8647613022 & -4.59 x_{27} & -4.75 x_{21} & -6.64 x_{25} & -54.90 x_{1} & + 249.36 x_{5} & +  7.61 x_{24} & +  0.41 x_{30} & +  8.02 x_{28} & + 141.68 x_{3} & +  6.11 x_{19} & -1.27 x_{29} & -17.39 x_{11} & -8.77 x_{23} & +  3.00 x_{22} & -98.07 x_{4}\\
 x_{17}   &  12.4826580223 & -3.24 x_{27} & -3.18 x_{21} & -5.55 x_{25} & -14.45 x_{1} & + 183.90 x_{5} & +  6.17 x_{24} & +  1.13 x_{30} & +  4.64 x_{28} & + 111.84 x_{3} & +  4.56 x_{19} & -1.78 x_{29} & -24.20 x_{11} & -6.22 x_{23} & +  3.24 x_{22} & -51.73 x_{4}\\
 x_{7}   &  2.63613876517 & +  0.19 x_{27} & +  0.23 x_{21} & +  0.25 x_{25} & +  1.92 x_{1} & -10.41 x_{5} & -0.37 x_{24} & -0.03 x_{30} & -0.33 x_{28} & -6.19 x_{3} & -0.24 x_{19} & +  0.06 x_{29} & +  0.23 x_{11} & +  0.38 x_{23} & -0.14 x_{22} & +  2.91 x_{4}\\
 x_{18}   &  6.10994477296 & +  5.74 x_{27} & +  5.86 x_{21} & +  8.08 x_{25} & + 63.83 x_{1} & -306.73 x_{5} & -9.84 x_{24} & -1.28 x_{30} & -9.26 x_{28} & -171.15 x_{3} & -7.14 x_{19} & +  2.13 x_{29} & +  5.84 x_{11} & + 11.43 x_{23} & -4.57 x_{22} & + 100.98 x_{4}\\
 x_{20}   &  10.223592233 & -6.77 x_{27} & -8.27 x_{21} & -10.64 x_{25} & -57.50 x_{1} & + 389.99 x_{5} & + 12.21 x_{24} & +  0.88 x_{30} & + 12.09 x_{28} & + 203.55 x_{3} & +  9.68 x_{19} & -0.50 x_{29} & -12.03 x_{11} & -14.18 x_{23} & +  3.31 x_{22} & -147.31 x_{4}\\
 x_{14}   &  1.06543147976 & -0.23 x_{27} & -0.32 x_{21} & -0.37 x_{25} & -1.81 x_{1} & + 14.56 x_{5} & +  0.43 x_{24} & +  0.06 x_{30} & +  0.43 x_{28} & +  7.68 x_{3} & +  0.35 x_{19} & +  0.00 x_{29} & -0.20 x_{11} & -0.56 x_{23} & +  0.11 x_{22} & -5.39 x_{4}\\
 x_{2}   &  1.85937277682 & -0.12 x_{27} & -0.22 x_{21} & -0.20 x_{25} & -1.88 x_{1} & +  8.08 x_{5} & +  0.19 x_{24} & -0.02 x_{30} & +  0.33 x_{28} & +  3.79 x_{3} & +  0.20 x_{19} & +  0.11 x_{29} & +  0.24 x_{11} & -0.31 x_{23} & -0.04 x_{22} & -3.71 x_{4}\\
 x_{13}   &  0.657203991873 & -0.11 x_{27} & -0.07 x_{21} & -0.11 x_{25} & -1.66 x_{1} & +  4.86 x_{5} & +  0.17 x_{24} & +  0.00 x_{30} & +  0.15 x_{28} & +  2.18 x_{3} & +  0.07 x_{19} & -0.01 x_{29} & +  0.04 x_{11} & -0.17 x_{23} & +  0.02 x_{22} & -1.70 x_{4}\\
 x_{6}   &  0.182901077887 & +  0.19 x_{27} & +  0.03 x_{21} & +  0.17 x_{25} & +  1.97 x_{1} & -5.70 x_{5} & -0.20 x_{24} & -0.04 x_{30} & -0.17 x_{28} & -2.81 x_{3} & -0.10 x_{19} & +  0.09 x_{29} & +  0.21 x_{11} & +  0.16 x_{23} & -0.14 x_{22} & +  2.50 x_{4}\\
 x_{10}   &  1.93425367514 & +  0.01 x_{27} & +  0.02 x_{21} & +  0.02 x_{25} & -0.65 x_{1} & +  0.20 x_{5} & -0.03 x_{24} & +  0.01 x_{30} & +  0.02 x_{28} & -0.14 x_{3} & -0.00 x_{19} & -0.02 x_{29} & -0.12 x_{11} & -0.03 x_{23} & -0.03 x_{22} & -0.57 x_{4}\\
 x_{26}   &  31.3639160622 & +  0.47 x_{27} & +  0.64 x_{21} & +  1.59 x_{25} & -14.15 x_{1} & -38.72 x_{5} & -1.86 x_{24} & -0.19 x_{30} & -0.05 x_{28} & -35.30 x_{3} & -1.44 x_{19} & +  1.51 x_{29} & + 10.33 x_{11} & +  1.46 x_{23} & -1.86 x_{22} & +  1.78 x_{4}\\
 x_{15}   &  1.20814625599 & +  0.05 x_{27} & -0.00 x_{21} & +  0.12 x_{25} & -0.34 x_{1} & -2.73 x_{5} & -0.16 x_{24} & -0.02 x_{30} & -0.04 x_{28} & -2.58 x_{3} & -0.10 x_{19} & +  0.15 x_{29} & +  0.93 x_{11} & +  0.10 x_{23} & -0.18 x_{22} & +  0.25 x_{4}\\
 x_{8}   &  2.07276593019 & -0.03 x_{27} & +  0.14 x_{21} & +  0.08 x_{25} & -0.61 x_{1} & -2.61 x_{5} & -0.03 x_{24} & -0.00 x_{30} & -0.10 x_{28} & -1.22 x_{3} & -0.08 x_{19} & -0.10 x_{29} & +  0.53 x_{11} & +  0.10 x_{23} & +  0.11 x_{22} & +  1.01 x_{4}\\
 x_{12}   &  2.67345068776 & -0.10 x_{27} & -0.18 x_{21} & -0.21 x_{25} & -1.63 x_{1} & +  7.24 x_{5} & +  0.16 x_{24} & +  0.02 x_{30} & +  0.23 x_{28} & +  4.54 x_{3} & +  0.14 x_{19} & -0.00 x_{29} & +  0.22 x_{11} & -0.31 x_{23} & +  0.04 x_{22} & -3.42 x_{4}\\
 x_{9}   &  5.64047172996 & +  0.11 x_{27} & +  0.26 x_{21} & +  0.20 x_{25} & +  0.61 x_{1} & -8.76 x_{5} & -0.26 x_{24} & +  0.03 x_{30} & -0.28 x_{28} & -3.74 x_{3} & -0.27 x_{19} & -0.06 x_{29} & +  0.68 x_{11} & +  0.32 x_{23} & +  0.03 x_{22} & +  2.60 x_{4}\\
\hline
z    &  11.587273529 & +  1.45 x_{27} & +  2.45 x_{21} & +  2.07 x_{25} & + 14.67 x_{1} & -93.94 x_{5} & -2.86 x_{24} & -0.18 x_{30} & -3.12 x_{28} & -49.44 x_{3} & -2.07 x_{19} & -0.83 x_{29} & -3.18 x_{11} & +  3.27 x_{23} & -0.08 x_{22} & + 26.26 x_{4}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  23.1037141122 & +  1.88 x_{27} & +  3.15 x_{21} & +  3.51 x_{25} & +  0.95 x_{20} & -122.98 x_{5} & -4.05 x_{24} & -0.43 x_{30} & -3.52 x_{28} & -52.66 x_{3} & -3.13 x_{19} & -0.79 x_{29} & -5.91 x_{11} & +  4.77 x_{23} & -0.16 x_{22} & + 42.57 x_{4}\\
 x_{17}   &  9.91346386748 & -1.53 x_{27} & -1.10 x_{21} & -2.87 x_{25} & +  0.25 x_{20} & + 85.89 x_{5} & +  3.10 x_{24} & +  0.91 x_{30} & +  1.60 x_{28} & + 60.68 x_{3} & +  2.13 x_{19} & -1.65 x_{29} & -21.17 x_{11} & -2.65 x_{23} & +  2.40 x_{22} & -14.72 x_{4}\\
 x_{7}   &  2.97808155242 & -0.03 x_{27} & -0.05 x_{21} & -0.11 x_{25} & -0.03 x_{20} & +  2.63 x_{5} & +  0.04 x_{24} & +  0.00 x_{30} & +  0.07 x_{28} & +  0.62 x_{3} & +  0.09 x_{19} & +  0.04 x_{29} & -0.17 x_{11} & -0.09 x_{23} & -0.03 x_{22} & -2.01 x_{4}\\
 x_{18}   &  17.4592542414 & -1.78 x_{27} & -3.32 x_{21} & -3.73 x_{25} & -1.11 x_{20} & + 126.20 x_{5} & +  3.71 x_{24} & -0.31 x_{30} & +  4.17 x_{28} & + 54.82 x_{3} & +  3.61 x_{19} & +  1.57 x_{29} & -7.51 x_{11} & -4.31 x_{23} & -0.90 x_{22} & -62.54 x_{4}\\
 x_{1}   &  0.177798582264 & -0.12 x_{27} & -0.14 x_{21} & -0.19 x_{25} & -0.02 x_{20} & +  6.78 x_{5} & +  0.21 x_{24} & +  0.02 x_{30} & +  0.21 x_{28} & +  3.54 x_{3} & +  0.17 x_{19} & -0.01 x_{29} & -0.21 x_{11} & -0.25 x_{23} & +  0.06 x_{22} & -2.56 x_{4}\\
 x_{14}   &  0.743783872744 & -0.02 x_{27} & -0.06 x_{21} & -0.04 x_{25} & +  0.03 x_{20} & +  2.29 x_{5} & +  0.05 x_{24} & +  0.04 x_{30} & +  0.05 x_{28} & +  1.28 x_{3} & +  0.04 x_{19} & +  0.02 x_{29} & +  0.17 x_{11} & -0.11 x_{23} & +  0.01 x_{22} & -0.75 x_{4}\\
 x_{2}   &  1.52533460676 & +  0.10 x_{27} & +  0.05 x_{21} & +  0.15 x_{25} & +  0.03 x_{20} & -4.66 x_{5} & -0.21 x_{24} & -0.05 x_{30} & -0.07 x_{28} & -2.86 x_{3} & -0.11 x_{19} & +  0.13 x_{29} & +  0.63 x_{11} & +  0.15 x_{23} & -0.15 x_{22} & +  1.11 x_{4}\\
 x_{13}   &  0.36125925156 & +  0.09 x_{27} & +  0.17 x_{21} & +  0.20 x_{25} & +  0.03 x_{20} & -6.43 x_{5} & -0.18 x_{24} & -0.02 x_{30} & -0.20 x_{28} & -3.71 x_{3} & -0.21 x_{19} & +  0.00 x_{29} & +  0.39 x_{11} & +  0.24 x_{23} & -0.08 x_{22} & +  2.56 x_{4}\\
 x_{6}   &  0.533759645788 & -0.04 x_{27} & -0.25 x_{21} & -0.19 x_{25} & -0.03 x_{20} & +  7.69 x_{5} & +  0.22 x_{24} & -0.01 x_{30} & +  0.24 x_{28} & +  4.17 x_{3} & +  0.23 x_{19} & +  0.08 x_{29} & -0.20 x_{11} & -0.32 x_{23} & -0.02 x_{22} & -2.55 x_{4}\\
 x_{10}   &  1.81821148592 & +  0.09 x_{27} & +  0.11 x_{21} & +  0.14 x_{25} & +  0.01 x_{20} & -4.23 x_{5} & -0.17 x_{24} & -0.00 x_{30} & -0.12 x_{28} & -2.45 x_{3} & -0.11 x_{19} & -0.01 x_{29} & +  0.02 x_{11} & +  0.14 x_{23} & -0.07 x_{22} & +  1.10 x_{4}\\
 x_{26}   &  28.8474158887 & +  2.14 x_{27} & +  2.67 x_{21} & +  4.21 x_{25} & +  0.25 x_{20} & -134.71 x_{5} & -4.87 x_{24} & -0.41 x_{30} & -3.03 x_{28} & -85.41 x_{3} & -3.82 x_{19} & +  1.63 x_{29} & + 13.29 x_{11} & +  4.95 x_{23} & -2.67 x_{22} & + 38.04 x_{4}\\
 x_{15}   &  1.14772900729 & +  0.09 x_{27} & +  0.05 x_{21} & +  0.19 x_{25} & +  0.01 x_{20} & -5.04 x_{5} & -0.24 x_{24} & -0.03 x_{30} & -0.11 x_{28} & -3.78 x_{3} & -0.16 x_{19} & +  0.16 x_{29} & +  1.00 x_{11} & +  0.18 x_{23} & -0.20 x_{22} & +  1.12 x_{4}\\
 x_{8}   &  1.96380907081 & +  0.04 x_{27} & +  0.22 x_{21} & +  0.19 x_{25} & +  0.01 x_{20} & -6.77 x_{5} & -0.16 x_{24} & -0.01 x_{30} & -0.23 x_{28} & -3.39 x_{3} & -0.18 x_{19} & -0.10 x_{29} & +  0.66 x_{11} & +  0.25 x_{23} & +  0.07 x_{22} & +  2.58 x_{4}\\
 x_{12}   &  2.38345542982 & +  0.09 x_{27} & +  0.05 x_{21} & +  0.10 x_{25} & +  0.03 x_{20} & -3.82 x_{5} & -0.19 x_{24} & -0.00 x_{30} & -0.11 x_{28} & -1.24 x_{3} & -0.14 x_{19} & +  0.01 x_{29} & +  0.56 x_{11} & +  0.09 x_{23} & -0.05 x_{22} & +  0.76 x_{4}\\
 x_{9}   &  5.74900332024 & +  0.04 x_{27} & +  0.17 x_{21} & +  0.09 x_{25} & -0.01 x_{20} & -4.62 x_{5} & -0.13 x_{24} & +  0.03 x_{30} & -0.15 x_{28} & -1.58 x_{3} & -0.17 x_{19} & -0.06 x_{29} & +  0.56 x_{11} & +  0.17 x_{23} & +  0.07 x_{22} & +  1.04 x_{4}\\
\hline
z    &  14.1954886795 & -0.28 x_{27} & +  0.34 x_{21} & -0.64 x_{25} & -0.26 x_{20} & +  5.55 x_{5} & +  0.25 x_{24} & +  0.05 x_{30} & -0.04 x_{28} & +  2.48 x_{3} & +  0.40 x_{19} & -0.96 x_{29} & -6.25 x_{11} & -0.35 x_{23} & +  0.76 x_{22} & -11.32 x_{4}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  17.974975293 & +  0.64 x_{27} & +  0.76 x_{21} & +  0.67 x_{25} & +  0.54 x_{20} & -31.68 x_{5} & -1.47 x_{24} & -0.11 x_{30} & -0.72 x_{28} & + 14.20 x_{13} & -0.12 x_{19} & -0.81 x_{29} & -11.39 x_{11} & +  1.32 x_{23} & +  0.91 x_{22} & +  6.23 x_{4}\\
 x_{17}   &  15.8232022505 & -0.10 x_{27} & +  1.66 x_{21} & +  0.40 x_{25} & +  0.72 x_{20} & -19.32 x_{5} & +  0.13 x_{24} & +  0.55 x_{30} & -1.62 x_{28} & -16.36 x_{13} & -1.34 x_{19} & -1.63 x_{29} & -14.85 x_{11} & +  1.32 x_{23} & +  1.17 x_{22} & + 27.15 x_{4}\\
 x_{7}   &  3.03837509175 & -0.02 x_{27} & -0.02 x_{21} & -0.07 x_{25} & -0.03 x_{20} & +  1.56 x_{5} & +  0.01 x_{24} & -0.00 x_{30} & +  0.04 x_{28} & -0.17 x_{13} & +  0.05 x_{19} & +  0.04 x_{29} & -0.11 x_{11} & -0.05 x_{23} & -0.04 x_{22} & -1.59 x_{4}\\
 x_{18}   &  22.7975922153 & -0.48 x_{27} & -0.83 x_{21} & -0.78 x_{25} & -0.68 x_{20} & + 31.16 x_{5} & +  1.03 x_{24} & -0.64 x_{30} & +  1.25 x_{28} & -14.78 x_{13} & +  0.48 x_{19} & +  1.59 x_{29} & -1.80 x_{11} & -0.72 x_{23} & -2.01 x_{22} & -24.72 x_{4}\\
 x_{1}   &  0.522534056635 & -0.03 x_{27} & +  0.02 x_{21} & +  0.01 x_{25} & +  0.01 x_{20} & +  0.65 x_{5} & +  0.04 x_{24} & -0.01 x_{30} & +  0.02 x_{28} & -0.95 x_{13} & -0.03 x_{19} & -0.01 x_{29} & +  0.16 x_{11} & -0.01 x_{23} & -0.01 x_{22} & -0.12 x_{4}\\
 x_{14}   &  0.868083183723 & +  0.01 x_{27} & -0.01 x_{21} & +  0.03 x_{25} & +  0.04 x_{20} & +  0.08 x_{5} & -0.01 x_{24} & +  0.03 x_{30} & -0.02 x_{28} & -0.34 x_{13} & -0.03 x_{19} & +  0.02 x_{29} & +  0.31 x_{11} & -0.03 x_{23} & -0.02 x_{22} & +  0.13 x_{4}\\
 x_{2}   &  1.24679810544 & +  0.03 x_{27} & -0.08 x_{21} & -0.01 x_{25} & +  0.01 x_{20} & +  0.30 x_{5} & -0.07 x_{24} & -0.03 x_{30} & +  0.08 x_{28} & +  0.77 x_{13} & +  0.05 x_{19} & +  0.13 x_{29} & +  0.33 x_{11} & -0.03 x_{23} & -0.09 x_{22} & -0.87 x_{4}\\
 x_{3}   &  0.0973843286533 & +  0.02 x_{27} & +  0.05 x_{21} & +  0.05 x_{25} & +  0.01 x_{20} & -1.73 x_{5} & -0.05 x_{24} & -0.01 x_{30} & -0.05 x_{28} & -0.27 x_{13} & -0.06 x_{19} & +  0.00 x_{29} & +  0.10 x_{11} & +  0.07 x_{23} & -0.02 x_{22} & +  0.69 x_{4}\\
 x_{6}   &  0.940264944444 & +  0.06 x_{27} & -0.06 x_{21} & +  0.03 x_{25} & -0.00 x_{20} & +  0.45 x_{5} & +  0.01 x_{24} & -0.04 x_{30} & +  0.02 x_{28} & -1.13 x_{13} & -0.01 x_{19} & +  0.08 x_{29} & +  0.24 x_{11} & -0.05 x_{23} & -0.11 x_{22} & +  0.33 x_{4}\\
 x_{10}   &  1.57981453682 & +  0.03 x_{27} & -0.00 x_{21} & +  0.00 x_{25} & -0.01 x_{20} & +  0.01 x_{5} & -0.05 x_{24} & +  0.01 x_{30} & +  0.01 x_{28} & +  0.66 x_{13} & +  0.03 x_{19} & -0.01 x_{29} & -0.24 x_{11} & -0.03 x_{23} & -0.02 x_{22} & -0.59 x_{4}\\
 x_{26}   &  20.5302693213 & +  0.12 x_{27} & -1.21 x_{21} & -0.40 x_{25} & -0.42 x_{20} & + 13.36 x_{5} & -0.69 x_{24} & +  0.11 x_{30} & +  1.51 x_{28} & + 23.02 x_{13} & +  1.06 x_{19} & +  1.60 x_{29} & +  4.40 x_{11} & -0.65 x_{23} & -0.94 x_{22} & -20.89 x_{4}\\
 x_{15}   &  0.779582635961 & -0.00 x_{27} & -0.13 x_{21} & -0.02 x_{25} & -0.02 x_{20} & +  1.52 x_{5} & -0.05 x_{24} & -0.00 x_{30} & +  0.09 x_{28} & +  1.02 x_{13} & +  0.06 x_{19} & +  0.15 x_{29} & +  0.61 x_{11} & -0.06 x_{23} & -0.12 x_{22} & -1.49 x_{4}\\
 x_{8}   &  1.63334893808 & -0.04 x_{27} & +  0.07 x_{21} & +  0.01 x_{25} & -0.02 x_{20} & -0.89 x_{5} & +  0.01 x_{24} & +  0.01 x_{30} & -0.05 x_{28} & +  0.91 x_{13} & +  0.01 x_{19} & -0.10 x_{29} & +  0.31 x_{11} & +  0.03 x_{23} & +  0.14 x_{22} & +  0.23 x_{4}\\
 x_{12}   &  2.26305890157 & +  0.06 x_{27} & -0.01 x_{21} & +  0.03 x_{25} & +  0.02 x_{20} & -1.67 x_{5} & -0.13 x_{24} & +  0.01 x_{30} & -0.04 x_{28} & +  0.33 x_{13} & -0.07 x_{19} & +  0.01 x_{29} & +  0.43 x_{11} & +  0.01 x_{23} & -0.03 x_{22} & -0.09 x_{4}\\
 x_{9}   &  5.59488132441 & -0.00 x_{27} & +  0.10 x_{21} & +  0.00 x_{25} & -0.02 x_{20} & -1.88 x_{5} & -0.05 x_{24} & +  0.04 x_{30} & -0.07 x_{28} & +  0.43 x_{13} & -0.08 x_{19} & -0.06 x_{29} & +  0.39 x_{11} & +  0.07 x_{23} & +  0.10 x_{22} & -0.05 x_{4}\\
\hline
z    &  14.4374442728 & -0.22 x_{27} & +  0.46 x_{21} & -0.51 x_{25} & -0.24 x_{20} & +  1.24 x_{5} & +  0.13 x_{24} & +  0.03 x_{30} & -0.17 x_{28} & -0.67 x_{13} & +  0.26 x_{19} & -0.96 x_{29} & -5.99 x_{11} & -0.18 x_{23} & +  0.71 x_{22} & -9.61 x_{4}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  16.1957208715 & +  0.21 x_{27} & -0.07 x_{21} & -0.31 x_{25} & +  0.40 x_{20} & + 18.27 x_{3} & -0.58 x_{24} & +  0.00 x_{30} & +  0.25 x_{28} & + 19.12 x_{13} & +  0.92 x_{19} & -0.82 x_{29} & -13.30 x_{11} & +  0.12 x_{23} & +  1.28 x_{22} & -6.37 x_{4}\\
 x_{17}   &  14.7382168646 & -0.36 x_{27} & +  1.15 x_{21} & -0.20 x_{25} & +  0.64 x_{20} & + 11.14 x_{3} & +  0.67 x_{24} & +  0.61 x_{30} & -1.03 x_{28} & -13.36 x_{13} & -0.70 x_{19} & -1.63 x_{29} & -16.01 x_{11} & +  0.59 x_{23} & +  1.40 x_{22} & + 19.47 x_{4}\\
 x_{7}   &  3.1258892125 & +  0.00 x_{27} & +  0.02 x_{21} & -0.03 x_{25} & -0.02 x_{20} & -0.90 x_{3} & -0.04 x_{24} & -0.01 x_{30} & -0.01 x_{28} & -0.41 x_{13} & +  0.00 x_{19} & +  0.04 x_{29} & -0.01 x_{11} & +  0.01 x_{23} & -0.06 x_{22} & -0.97 x_{4}\\
 x_{18}   &  24.5479611925 & -0.06 x_{27} & -0.02 x_{21} & +  0.19 x_{25} & -0.54 x_{20} & -17.97 x_{3} & +  0.15 x_{24} & -0.75 x_{30} & +  0.30 x_{28} & -19.62 x_{13} & -0.55 x_{19} & +  1.60 x_{29} & +  0.07 x_{11} & +  0.46 x_{23} & -2.38 x_{22} & -12.32 x_{4}\\
 x_{1}   &  0.558766078673 & -0.03 x_{27} & +  0.03 x_{21} & +  0.03 x_{25} & +  0.01 x_{20} & -0.37 x_{3} & +  0.02 x_{24} & -0.01 x_{30} & +  0.00 x_{28} & -1.05 x_{13} & -0.06 x_{19} & -0.01 x_{29} & +  0.20 x_{11} & +  0.01 x_{23} & -0.02 x_{22} & +  0.14 x_{4}\\
 x_{14}   &  0.872425149195 & +  0.01 x_{27} & -0.00 x_{21} & +  0.03 x_{25} & +  0.04 x_{20} & -0.04 x_{3} & -0.02 x_{24} & +  0.03 x_{30} & -0.02 x_{28} & -0.36 x_{13} & -0.03 x_{19} & +  0.02 x_{29} & +  0.31 x_{11} & -0.03 x_{23} & -0.02 x_{22} & +  0.16 x_{4}\\
 x_{2}   &  1.26368487985 & +  0.04 x_{27} & -0.07 x_{21} & +  0.00 x_{25} & +  0.01 x_{20} & -0.17 x_{3} & -0.08 x_{24} & -0.03 x_{30} & +  0.07 x_{28} & +  0.72 x_{13} & +  0.04 x_{19} & +  0.13 x_{29} & +  0.35 x_{11} & -0.02 x_{23} & -0.09 x_{22} & -0.75 x_{4}\\
 x_{5}   &  0.0561712169978 & +  0.01 x_{27} & +  0.03 x_{21} & +  0.03 x_{25} & +  0.00 x_{20} & -0.58 x_{3} & -0.03 x_{24} & -0.00 x_{30} & -0.03 x_{28} & -0.16 x_{13} & -0.03 x_{19} & +  0.00 x_{29} & +  0.06 x_{11} & +  0.04 x_{23} & -0.01 x_{22} & +  0.40 x_{4}\\
 x_{6}   &  0.96558681026 & +  0.06 x_{27} & -0.05 x_{21} & +  0.04 x_{25} & +  0.00 x_{20} & -0.26 x_{3} & +  0.00 x_{24} & -0.04 x_{30} & +  0.00 x_{28} & -1.20 x_{13} & -0.02 x_{19} & +  0.08 x_{29} & +  0.26 x_{11} & -0.03 x_{23} & -0.11 x_{22} & +  0.51 x_{4}\\
 x_{10}   &  1.58055268642 & +  0.03 x_{27} & -0.00 x_{21} & +  0.00 x_{25} & -0.01 x_{20} & -0.01 x_{3} & -0.05 x_{24} & +  0.01 x_{30} & +  0.01 x_{28} & +  0.66 x_{13} & +  0.02 x_{19} & -0.01 x_{29} & -0.24 x_{11} & -0.02 x_{23} & -0.02 x_{22} & -0.59 x_{4}\\
 x_{26}   &  21.2806294439 & +  0.30 x_{27} & -0.86 x_{21} & +  0.02 x_{25} & -0.36 x_{20} & -7.71 x_{3} & -1.07 x_{24} & +  0.07 x_{30} & +  1.10 x_{28} & + 20.95 x_{13} & +  0.62 x_{19} & +  1.60 x_{29} & +  5.20 x_{11} & -0.14 x_{23} & -1.09 x_{22} & -15.57 x_{4}\\
 x_{15}   &  0.864822298235 & +  0.02 x_{27} & -0.09 x_{21} & +  0.03 x_{25} & -0.02 x_{20} & -0.88 x_{3} & -0.09 x_{24} & -0.01 x_{30} & +  0.04 x_{28} & +  0.78 x_{13} & +  0.01 x_{19} & +  0.15 x_{29} & +  0.70 x_{11} & -0.01 x_{23} & -0.14 x_{22} & -0.89 x_{4}\\
 x_{8}   &  1.58348219163 & -0.05 x_{27} & +  0.05 x_{21} & -0.02 x_{25} & -0.02 x_{20} & +  0.51 x_{3} & +  0.03 x_{24} & +  0.01 x_{30} & -0.03 x_{28} & +  1.05 x_{13} & +  0.04 x_{19} & -0.10 x_{29} & +  0.26 x_{11} & -0.00 x_{23} & +  0.15 x_{22} & -0.12 x_{4}\\
 x_{12}   &  2.16899918184 & +  0.04 x_{27} & -0.05 x_{21} & -0.02 x_{25} & +  0.01 x_{20} & +  0.97 x_{3} & -0.08 x_{24} & +  0.01 x_{30} & +  0.01 x_{28} & +  0.59 x_{13} & -0.01 x_{19} & +  0.01 x_{29} & +  0.33 x_{11} & -0.05 x_{23} & -0.01 x_{22} & -0.76 x_{4}\\
 x_{9}   &  5.48952769241 & -0.03 x_{27} & +  0.05 x_{21} & -0.06 x_{25} & -0.03 x_{20} & +  1.08 x_{3} & +  0.00 x_{24} & +  0.05 x_{30} & -0.01 x_{28} & +  0.72 x_{13} & -0.02 x_{19} & -0.06 x_{29} & +  0.28 x_{11} & -0.00 x_{23} & +  0.12 x_{22} & -0.80 x_{4}\\
\hline
z    &  14.5072542906 & -0.20 x_{27} & +  0.49 x_{21} & -0.47 x_{25} & -0.23 x_{20} & -0.72 x_{3} & +  0.09 x_{24} & +  0.03 x_{30} & -0.21 x_{28} & -0.86 x_{13} & +  0.22 x_{19} & -0.96 x_{29} & -5.92 x_{11} & -0.14 x_{23} & +  0.70 x_{22} & -9.11 x_{4}\\
\end{array}\]


 $ x_{19} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  17.7694331266 & +  0.59 x_{27} & +  0.66 x_{21} & +  0.56 x_{25} & +  0.53 x_{20} & +  2.11 x_{3} & -1.37 x_{24} & -0.09 x_{30} & -0.61 x_{28} & + 14.77 x_{13} & -28.02 x_{5} & -0.81 x_{29} & -11.61 x_{11} & +  1.18 x_{23} & +  0.95 x_{22} & +  4.78 x_{4}\\
 x_{17}   &  13.5386709645 & -0.65 x_{27} & +  0.59 x_{21} & -0.87 x_{25} & +  0.54 x_{20} & + 23.46 x_{3} & +  1.28 x_{24} & +  0.69 x_{30} & -0.37 x_{28} & -10.03 x_{13} & + 21.36 x_{5} & -1.64 x_{29} & -17.30 x_{11} & -0.22 x_{23} & +  1.65 x_{22} & + 10.97 x_{4}\\
 x_{7}   &  3.12781591259 & +  0.00 x_{27} & +  0.02 x_{21} & -0.02 x_{25} & -0.02 x_{20} & -0.92 x_{3} & -0.04 x_{24} & -0.01 x_{30} & -0.01 x_{28} & -0.41 x_{13} & -0.03 x_{5} & +  0.04 x_{29} & -0.01 x_{11} & +  0.01 x_{23} & -0.06 x_{22} & -0.95 x_{4}\\
 x_{18}   &  23.6074658993 & -0.29 x_{27} & -0.46 x_{21} & -0.33 x_{25} & -0.62 x_{20} & -8.32 x_{3} & +  0.62 x_{24} & -0.69 x_{30} & +  0.81 x_{28} & -17.02 x_{13} & + 16.74 x_{5} & +  1.59 x_{29} & -0.93 x_{11} & -0.17 x_{23} & -2.18 x_{22} & -18.98 x_{4}\\
 x_{1}   &  0.464686342612 & -0.05 x_{27} & -0.01 x_{21} & -0.03 x_{25} & +  0.01 x_{20} & +  0.59 x_{3} & +  0.07 x_{24} & -0.00 x_{30} & +  0.05 x_{28} & -0.79 x_{13} & +  1.67 x_{5} & -0.01 x_{29} & +  0.10 x_{11} & -0.05 x_{23} & -0.00 x_{22} & -0.53 x_{4}\\
 x_{14}   &  0.815947186114 & -0.00 x_{27} & -0.03 x_{21} & +  0.00 x_{25} & +  0.04 x_{20} & +  0.54 x_{3} & +  0.01 x_{24} & +  0.03 x_{30} & +  0.01 x_{28} & -0.20 x_{13} & +  1.01 x_{5} & +  0.02 x_{29} & +  0.25 x_{11} & -0.06 x_{23} & -0.01 x_{22} & -0.24 x_{4}\\
 x_{2}   &  1.33204386736 & +  0.05 x_{27} & -0.04 x_{21} & +  0.04 x_{25} & +  0.02 x_{20} & -0.88 x_{3} & -0.12 x_{24} & -0.04 x_{30} & +  0.04 x_{28} & +  0.54 x_{13} & -1.22 x_{5} & +  0.13 x_{29} & +  0.42 x_{11} & +  0.02 x_{23} & -0.11 x_{22} & -0.26 x_{4}\\
 x_{19}   &  1.70347750171 & +  0.41 x_{27} & +  0.79 x_{21} & +  0.94 x_{25} & +  0.14 x_{20} & -17.49 x_{3} & -0.86 x_{24} & -0.11 x_{30} & -0.93 x_{28} & -4.72 x_{13} & -30.33 x_{5} & +  0.01 x_{29} & +  1.82 x_{11} & +  1.15 x_{23} & -0.36 x_{22} & + 12.07 x_{4}\\
 x_{6}   &  0.928756339088 & +  0.05 x_{27} & -0.07 x_{21} & +  0.02 x_{25} & -0.00 x_{20} & +  0.12 x_{3} & +  0.02 x_{24} & -0.04 x_{30} & +  0.02 x_{28} & -1.09 x_{13} & +  0.66 x_{5} & +  0.08 x_{29} & +  0.22 x_{11} & -0.06 x_{23} & -0.11 x_{22} & +  0.25 x_{4}\\
 x_{10}   &  1.62301051038 & +  0.04 x_{27} & +  0.02 x_{21} & +  0.03 x_{25} & -0.00 x_{20} & -0.44 x_{3} & -0.07 x_{24} & +  0.01 x_{30} & -0.01 x_{28} & +  0.54 x_{13} & -0.76 x_{5} & -0.01 x_{29} & -0.19 x_{11} & +  0.00 x_{23} & -0.03 x_{22} & -0.28 x_{4}\\
 x_{26}   &  22.3363864741 & +  0.56 x_{27} & -0.37 x_{21} & +  0.60 x_{25} & -0.28 x_{20} & -18.55 x_{3} & -1.60 x_{24} & +  0.00 x_{30} & +  0.52 x_{28} & + 18.02 x_{13} & -18.80 x_{5} & +  1.60 x_{29} & +  6.33 x_{11} & +  0.57 x_{23} & -1.31 x_{22} & -8.09 x_{4}\\
 x_{15}   &  0.877150350451 & +  0.02 x_{27} & -0.08 x_{21} & +  0.04 x_{25} & -0.02 x_{20} & -1.00 x_{3} & -0.10 x_{24} & -0.01 x_{30} & +  0.04 x_{28} & +  0.75 x_{13} & -0.22 x_{5} & +  0.15 x_{29} & +  0.71 x_{11} & +  0.00 x_{23} & -0.14 x_{22} & -0.80 x_{4}\\
 x_{8}   &  1.6556535228 & -0.04 x_{27} & +  0.08 x_{21} & +  0.02 x_{25} & -0.01 x_{20} & -0.23 x_{3} & -0.01 x_{24} & +  0.01 x_{30} & -0.07 x_{28} & +  0.85 x_{13} & -1.28 x_{5} & -0.10 x_{29} & +  0.33 x_{11} & +  0.05 x_{23} & +  0.14 x_{22} & +  0.39 x_{4}\\
 x_{12}   &  2.14745700571 & +  0.03 x_{27} & -0.06 x_{21} & -0.03 x_{25} & +  0.01 x_{20} & +  1.19 x_{3} & -0.07 x_{24} & +  0.01 x_{30} & +  0.02 x_{28} & +  0.65 x_{13} & +  0.38 x_{5} & +  0.01 x_{29} & +  0.31 x_{11} & -0.06 x_{23} & -0.00 x_{22} & -0.91 x_{4}\\
 x_{9}   &  5.45921556587 & -0.04 x_{27} & +  0.03 x_{21} & -0.07 x_{25} & -0.03 x_{20} & +  1.39 x_{3} & +  0.02 x_{24} & +  0.05 x_{30} & +  0.00 x_{28} & +  0.80 x_{13} & +  0.54 x_{5} & -0.06 x_{29} & +  0.25 x_{11} & -0.03 x_{23} & +  0.13 x_{22} & -1.01 x_{4}\\
\hline
z    &  14.8787240122 & -0.11 x_{27} & +  0.66 x_{21} & -0.26 x_{25} & -0.20 x_{20} & -4.53 x_{3} & -0.09 x_{24} & +  0.01 x_{30} & -0.41 x_{28} & -1.89 x_{13} & -6.61 x_{5} & -0.96 x_{29} & -5.52 x_{11} & +  0.11 x_{23} & +  0.62 x_{22} & -6.48 x_{4}\\
\end{array}\]


 $ x_{21} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  24.9988718979 & +  0.78 x_{27} & -8.24 x_{15} & +  0.86 x_{25} & +  0.40 x_{20} & -6.15 x_{3} & -2.19 x_{24} & -0.17 x_{30} & -0.32 x_{28} & + 20.94 x_{13} & -29.83 x_{5} & +  0.46 x_{29} & -5.76 x_{11} & +  1.19 x_{23} & -0.19 x_{22} & -1.82 x_{4}\\
 x_{17}   &  19.9992322717 & -0.48 x_{27} & -7.37 x_{15} & -0.60 x_{25} & +  0.43 x_{20} & + 16.08 x_{3} & +  0.55 x_{24} & +  0.62 x_{30} & -0.11 x_{28} & -4.52 x_{13} & + 19.74 x_{5} & -0.50 x_{29} & -12.06 x_{11} & -0.21 x_{23} & +  0.62 x_{22} & +  5.07 x_{4}\\
 x_{7}   &  3.37423666439 & +  0.01 x_{27} & -0.28 x_{15} & -0.01 x_{25} & -0.03 x_{20} & -1.20 x_{3} & -0.07 x_{24} & -0.01 x_{30} & +  0.00 x_{28} & -0.20 x_{13} & -0.10 x_{5} & +  0.09 x_{29} & +  0.19 x_{11} & +  0.01 x_{23} & -0.10 x_{22} & -1.18 x_{4}\\
 x_{18}   &  18.6122922884 & -0.42 x_{27} & +  5.69 x_{15} & -0.54 x_{25} & -0.53 x_{20} & -2.61 x_{3} & +  1.19 x_{24} & -0.64 x_{30} & +  0.61 x_{28} & -21.28 x_{13} & + 17.99 x_{5} & +  0.72 x_{29} & -4.98 x_{11} & -0.18 x_{23} & -1.39 x_{22} & -14.42 x_{4}\\
 x_{1}   &  0.354712014749 & -0.05 x_{27} & +  0.13 x_{15} & -0.03 x_{25} & +  0.01 x_{20} & +  0.72 x_{3} & +  0.08 x_{24} & -0.00 x_{30} & +  0.05 x_{28} & -0.89 x_{13} & +  1.70 x_{5} & -0.03 x_{29} & +  0.01 x_{11} & -0.05 x_{23} & +  0.02 x_{22} & -0.43 x_{4}\\
 x_{14}   &  0.480760525171 & -0.01 x_{27} & +  0.38 x_{15} & -0.01 x_{25} & +  0.04 x_{20} & +  0.92 x_{3} & +  0.05 x_{24} & +  0.04 x_{30} & -0.00 x_{28} & -0.49 x_{13} & +  1.09 x_{5} & -0.04 x_{29} & -0.02 x_{11} & -0.06 x_{23} & +  0.04 x_{22} & +  0.06 x_{4}\\
 x_{2}   &  0.871035955331 & +  0.04 x_{27} & +  0.53 x_{15} & +  0.02 x_{25} & +  0.03 x_{20} & -0.35 x_{3} & -0.06 x_{24} & -0.03 x_{30} & +  0.02 x_{28} & +  0.14 x_{13} & -1.10 x_{5} & +  0.05 x_{29} & +  0.05 x_{11} & +  0.02 x_{23} & -0.03 x_{22} & +  0.16 x_{4}\\
 x_{19}   &  10.4186731992 & +  0.65 x_{27} & -9.94 x_{15} & +  1.30 x_{25} & -0.02 x_{20} & -27.45 x_{3} & -1.84 x_{24} & -0.20 x_{30} & -0.58 x_{28} & +  2.73 x_{13} & -32.51 x_{5} & +  1.54 x_{29} & +  8.88 x_{11} & +  1.15 x_{23} & -1.74 x_{22} & +  4.11 x_{4}\\
 x_{6}   &  0.176169894841 & +  0.03 x_{27} & +  0.86 x_{15} & -0.01 x_{25} & +  0.01 x_{20} & +  0.98 x_{3} & +  0.11 x_{24} & -0.03 x_{30} & -0.01 x_{28} & -1.74 x_{13} & +  0.84 x_{5} & -0.06 x_{29} & -0.39 x_{11} & -0.06 x_{23} & +  0.01 x_{22} & +  0.93 x_{4}\\
 x_{10}   &  1.83351220215 & +  0.05 x_{27} & -0.24 x_{15} & +  0.04 x_{25} & -0.01 x_{20} & -0.68 x_{3} & -0.09 x_{24} & +  0.01 x_{30} & -0.00 x_{28} & +  0.72 x_{13} & -0.81 x_{5} & +  0.02 x_{29} & -0.02 x_{11} & +  0.00 x_{23} & -0.06 x_{22} & -0.48 x_{4}\\
 x_{26}   &  18.3234334324 & +  0.45 x_{27} & +  4.57 x_{15} & +  0.44 x_{25} & -0.20 x_{20} & -13.96 x_{3} & -1.14 x_{24} & +  0.04 x_{30} & +  0.36 x_{28} & + 14.60 x_{13} & -17.79 x_{5} & +  0.90 x_{29} & +  3.08 x_{11} & +  0.57 x_{23} & -0.68 x_{22} & -4.43 x_{4}\\
 x_{21}   &  10.9642365603 & +  0.29 x_{27} & -12.50 x_{15} & +  0.45 x_{25} & -0.20 x_{20} & -12.52 x_{3} & -1.24 x_{24} & -0.12 x_{30} & +  0.44 x_{28} & +  9.36 x_{13} & -2.74 x_{5} & +  1.93 x_{29} & +  8.88 x_{11} & +  0.01 x_{23} & -1.74 x_{22} & -10.01 x_{4}\\
 x_{8}   &  2.5264407363 & -0.01 x_{27} & -0.99 x_{15} & +  0.06 x_{25} & -0.03 x_{20} & -1.22 x_{3} & -0.10 x_{24} & -0.00 x_{30} & -0.03 x_{28} & +  1.60 x_{13} & -1.50 x_{5} & +  0.05 x_{29} & +  1.04 x_{11} & +  0.05 x_{23} & +  0.00 x_{22} & -0.40 x_{4}\\
 x_{12}   &  1.49707021933 & +  0.01 x_{27} & +  0.74 x_{15} & -0.06 x_{25} & +  0.02 x_{20} & +  1.93 x_{3} & +  0.00 x_{24} & +  0.02 x_{30} & -0.01 x_{28} & +  0.10 x_{13} & +  0.55 x_{5} & -0.10 x_{29} & -0.22 x_{11} & -0.06 x_{23} & +  0.10 x_{22} & -0.32 x_{4}\\
 x_{9}   &  5.81931593347 & -0.03 x_{27} & -0.41 x_{15} & -0.06 x_{25} & -0.04 x_{20} & +  0.98 x_{3} & -0.02 x_{24} & +  0.05 x_{30} & +  0.02 x_{28} & +  1.11 x_{13} & +  0.45 x_{5} & -0.00 x_{29} & +  0.54 x_{11} & -0.02 x_{23} & +  0.07 x_{22} & -1.34 x_{4}\\
\hline
z    &  22.1313075178 & +  0.08 x_{27} & -8.27 x_{15} & +  0.03 x_{25} & -0.33 x_{20} & -12.82 x_{3} & -0.92 x_{24} & -0.07 x_{30} & -0.12 x_{28} & +  4.30 x_{13} & -8.43 x_{5} & +  0.32 x_{29} & +  0.36 x_{11} & +  0.12 x_{23} & -0.53 x_{22} & -13.11 x_{4}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  22.37487071 & +  0.27 x_{27} & -21.02 x_{15} & +  0.95 x_{25} & +  0.24 x_{20} & -20.71 x_{3} & -3.75 x_{24} & +  0.26 x_{30} & -0.24 x_{28} & + 46.80 x_{13} & -42.40 x_{5} & +  1.28 x_{29} & + 14.89 x_{6} & +  2.04 x_{23} & -0.39 x_{22} & -15.73 x_{4}\\
 x_{17}   &  14.4998810923 & -1.55 x_{27} & -34.15 x_{15} & -0.40 x_{25} & +  0.09 x_{20} & -14.44 x_{3} & -2.74 x_{24} & +  1.53 x_{30} & +  0.06 x_{28} & + 49.67 x_{13} & -6.61 x_{5} & +  1.22 x_{29} & + 31.22 x_{6} & +  1.57 x_{23} & +  0.22 x_{22} & -24.07 x_{4}\\
 x_{7}   &  3.45935483257 & +  0.02 x_{27} & +  0.13 x_{15} & -0.02 x_{25} & -0.02 x_{20} & -0.73 x_{3} & -0.02 x_{24} & -0.03 x_{30} & -0.00 x_{28} & -1.04 x_{13} & +  0.31 x_{5} & +  0.06 x_{29} & -0.48 x_{6} & -0.02 x_{23} & -0.09 x_{22} & -0.73 x_{4}\\
 x_{18}   &  16.3414486759 & -0.86 x_{27} & -5.36 x_{15} & -0.45 x_{25} & -0.67 x_{20} & -15.21 x_{3} & -0.17 x_{24} & -0.26 x_{30} & +  0.68 x_{28} & +  1.09 x_{13} & +  7.11 x_{5} & +  1.43 x_{29} & + 12.89 x_{6} & +  0.56 x_{23} & -1.56 x_{22} & -26.46 x_{4}\\
 x_{1}   &  0.358644935518 & -0.05 x_{27} & +  0.14 x_{15} & -0.03 x_{25} & +  0.01 x_{20} & +  0.74 x_{3} & +  0.08 x_{24} & -0.00 x_{30} & +  0.05 x_{28} & -0.93 x_{13} & +  1.72 x_{5} & -0.03 x_{29} & -0.02 x_{6} & -0.06 x_{23} & +  0.02 x_{22} & -0.41 x_{4}\\
 x_{14}   &  0.471197405744 & -0.01 x_{27} & +  0.34 x_{15} & -0.01 x_{25} & +  0.04 x_{20} & +  0.87 x_{3} & +  0.04 x_{24} & +  0.04 x_{30} & +  0.00 x_{28} & -0.39 x_{13} & +  1.04 x_{5} & -0.04 x_{29} & +  0.05 x_{6} & -0.06 x_{23} & +  0.04 x_{22} & +  0.01 x_{4}\\
 x_{2}   &  0.893721035997 & +  0.04 x_{27} & +  0.64 x_{15} & +  0.02 x_{25} & +  0.03 x_{20} & -0.22 x_{3} & -0.05 x_{24} & -0.03 x_{30} & +  0.02 x_{28} & -0.08 x_{13} & -0.99 x_{5} & +  0.04 x_{29} & -0.13 x_{6} & +  0.02 x_{23} & -0.03 x_{22} & +  0.28 x_{4}\\
 x_{19}   &  14.4678472438 & +  1.43 x_{27} & +  9.78 x_{15} & +  1.15 x_{25} & +  0.23 x_{20} & -4.97 x_{3} & +  0.57 x_{24} & -0.87 x_{30} & -0.71 x_{28} & -37.17 x_{13} & -13.11 x_{5} & +  0.27 x_{29} & -22.98 x_{6} & -0.16 x_{23} & -1.44 x_{22} & + 25.57 x_{4}\\
 x_{11}   &  0.4558634415 & +  0.09 x_{27} & +  2.22 x_{15} & -0.02 x_{25} & +  0.03 x_{20} & +  2.53 x_{3} & +  0.27 x_{24} & -0.08 x_{30} & -0.01 x_{28} & -4.49 x_{13} & +  2.18 x_{5} & -0.14 x_{29} & -2.59 x_{6} & -0.15 x_{23} & +  0.03 x_{22} & +  2.42 x_{4}\\
 x_{10}   &  1.82397063596 & +  0.04 x_{27} & -0.29 x_{15} & +  0.04 x_{25} & -0.01 x_{20} & -0.74 x_{3} & -0.10 x_{24} & +  0.01 x_{30} & -0.00 x_{28} & +  0.81 x_{13} & -0.85 x_{5} & +  0.03 x_{29} & +  0.05 x_{6} & +  0.01 x_{23} & -0.06 x_{22} & -0.53 x_{4}\\
 x_{26}   &  19.7260349424 & +  0.72 x_{27} & + 11.41 x_{15} & +  0.38 x_{25} & -0.12 x_{20} & -6.18 x_{3} & -0.31 x_{24} & -0.19 x_{30} & +  0.32 x_{28} & +  0.78 x_{13} & -11.07 x_{5} & +  0.46 x_{29} & -7.96 x_{6} & +  0.11 x_{23} & -0.57 x_{22} & +  3.00 x_{4}\\
 x_{21}   &  15.0134115538 & +  1.08 x_{27} & +  7.22 x_{15} & +  0.30 x_{25} & +  0.05 x_{20} & +  9.95 x_{3} & +  1.17 x_{24} & -0.79 x_{30} & +  0.31 x_{28} & -30.54 x_{13} & + 16.66 x_{5} & +  0.66 x_{29} & -22.98 x_{6} & -1.31 x_{23} & -1.44 x_{22} & + 11.44 x_{4}\\
 x_{8}   &  2.99985985731 & +  0.08 x_{27} & +  1.31 x_{15} & +  0.04 x_{25} & -0.00 x_{20} & +  1.40 x_{3} & +  0.18 x_{24} & -0.08 x_{30} & -0.05 x_{28} & -3.07 x_{13} & +  0.77 x_{5} & -0.09 x_{29} & -2.69 x_{6} & -0.11 x_{23} & +  0.04 x_{22} & +  2.11 x_{4}\\
 x_{12}   &  1.39790692189 & -0.01 x_{27} & +  0.26 x_{15} & -0.06 x_{25} & +  0.02 x_{20} & +  1.38 x_{3} & -0.06 x_{24} & +  0.04 x_{30} & -0.00 x_{28} & +  1.08 x_{13} & +  0.07 x_{5} & -0.07 x_{29} & +  0.56 x_{6} & -0.03 x_{23} & +  0.09 x_{22} & -0.84 x_{4}\\
 x_{9}   &  6.06457503253 & +  0.02 x_{27} & +  0.78 x_{15} & -0.07 x_{25} & -0.03 x_{20} & +  2.34 x_{3} & +  0.12 x_{24} & +  0.01 x_{30} & +  0.01 x_{28} & -1.31 x_{13} & +  1.62 x_{5} & -0.08 x_{29} & -1.39 x_{6} & -0.10 x_{23} & +  0.09 x_{22} & -0.04 x_{4}\\
\hline
z    &  22.2943241582 & +  0.12 x_{27} & -7.47 x_{15} & +  0.03 x_{25} & -0.32 x_{20} & -11.91 x_{3} & -0.82 x_{24} & -0.10 x_{30} & -0.13 x_{28} & +  2.70 x_{13} & -7.65 x_{5} & +  0.26 x_{29} & -0.93 x_{6} & +  0.07 x_{23} & -0.52 x_{22} & -12.24 x_{4}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  27.1237460404 & +  1.19 x_{27} & +  2.11 x_{15} & +  0.78 x_{25} & +  0.53 x_{20} & +  5.65 x_{3} & -0.92 x_{24} & -0.52 x_{30} & -0.39 x_{28} & -10.42 x_{11} & -19.65 x_{5} & -0.21 x_{29} & -12.06 x_{6} & +  0.50 x_{23} & -0.04 x_{22} & +  9.44 x_{4}\\
 x_{17}   &  19.5407140647 & -0.57 x_{27} & -9.60 x_{15} & -0.59 x_{25} & +  0.40 x_{20} & + 13.53 x_{3} & +  0.27 x_{24} & +  0.70 x_{30} & -0.10 x_{28} & -11.06 x_{11} & + 17.54 x_{5} & -0.36 x_{29} & +  2.60 x_{6} & -0.06 x_{23} & +  0.59 x_{22} & +  2.64 x_{4}\\
 x_{7}   &  3.35352838309 & +  0.00 x_{27} & -0.38 x_{15} & -0.01 x_{25} & -0.03 x_{20} & -1.31 x_{3} & -0.08 x_{24} & -0.01 x_{30} & +  0.00 x_{28} & +  0.23 x_{11} & -0.20 x_{5} & +  0.09 x_{29} & +  0.12 x_{6} & +  0.01 x_{23} & -0.10 x_{22} & -1.29 x_{4}\\
 x_{18}   &  16.4523846274 & -0.84 x_{27} & -4.82 x_{15} & -0.46 x_{25} & -0.66 x_{20} & -14.60 x_{3} & -0.10 x_{24} & -0.28 x_{30} & +  0.68 x_{28} & -0.24 x_{11} & +  7.65 x_{5} & +  1.39 x_{29} & + 12.26 x_{6} & +  0.52 x_{23} & -1.55 x_{22} & -25.87 x_{4}\\
 x_{1}   &  0.26459421678 & -0.07 x_{27} & -0.31 x_{15} & -0.03 x_{25} & +  0.00 x_{20} & +  0.22 x_{3} & +  0.03 x_{24} & +  0.01 x_{30} & +  0.05 x_{28} & +  0.21 x_{11} & +  1.27 x_{5} & +  0.00 x_{29} & +  0.51 x_{6} & -0.02 x_{23} & +  0.01 x_{22} & -0.91 x_{4}\\
 x_{14}   &  0.431444821933 & -0.02 x_{27} & +  0.14 x_{15} & -0.01 x_{25} & +  0.04 x_{20} & +  0.64 x_{3} & +  0.02 x_{24} & +  0.04 x_{30} & +  0.00 x_{28} & +  0.09 x_{11} & +  0.85 x_{5} & -0.03 x_{29} & +  0.28 x_{6} & -0.05 x_{23} & +  0.04 x_{22} & -0.20 x_{4}\\
 x_{2}   &  0.885385012508 & +  0.04 x_{27} & +  0.60 x_{15} & +  0.02 x_{25} & +  0.03 x_{20} & -0.27 x_{3} & -0.05 x_{24} & -0.03 x_{30} & +  0.02 x_{28} & +  0.02 x_{11} & -1.03 x_{5} & +  0.04 x_{29} & -0.08 x_{6} & +  0.02 x_{23} & -0.03 x_{22} & +  0.23 x_{4}\\
 x_{19}   &  10.6953479094 & +  0.70 x_{27} & -8.59 x_{15} & +  1.29 x_{25} & -0.00 x_{20} & -25.91 x_{3} & -1.68 x_{24} & -0.24 x_{30} & -0.59 x_{28} & +  8.28 x_{11} & -31.18 x_{5} & +  1.45 x_{29} & -1.57 x_{6} & +  1.06 x_{23} & -1.72 x_{22} & +  5.58 x_{4}\\
 x_{13}   &  0.101479629139 & +  0.02 x_{27} & +  0.49 x_{15} & -0.00 x_{25} & +  0.01 x_{20} & +  0.56 x_{3} & +  0.06 x_{24} & -0.02 x_{30} & -0.00 x_{28} & -0.22 x_{11} & +  0.49 x_{5} & -0.03 x_{29} & -0.58 x_{6} & -0.03 x_{23} & +  0.01 x_{22} & +  0.54 x_{4}\\
 x_{10}   &  1.90658561183 & +  0.06 x_{27} & +  0.12 x_{15} & +  0.03 x_{25} & -0.00 x_{20} & -0.28 x_{3} & -0.05 x_{24} & -0.00 x_{30} & -0.01 x_{28} & -0.18 x_{11} & -0.46 x_{5} & -0.00 x_{29} & -0.41 x_{6} & -0.02 x_{23} & -0.05 x_{22} & -0.09 x_{4}\\
 x_{26}   &  19.80468489 & +  0.74 x_{27} & + 11.79 x_{15} & +  0.38 x_{25} & -0.11 x_{20} & -5.74 x_{3} & -0.26 x_{24} & -0.20 x_{30} & +  0.31 x_{28} & -0.17 x_{11} & -10.69 x_{5} & +  0.44 x_{29} & -8.41 x_{6} & +  0.08 x_{23} & -0.57 x_{22} & +  3.42 x_{4}\\
 x_{21}   &  11.9143113322 & +  0.48 x_{27} & -7.87 x_{15} & +  0.42 x_{25} & -0.14 x_{20} & -7.25 x_{3} & -0.68 x_{24} & -0.27 x_{30} & +  0.41 x_{28} & +  6.80 x_{11} & +  1.81 x_{5} & +  1.63 x_{29} & -5.39 x_{6} & -0.30 x_{23} & -1.67 x_{22} & -4.98 x_{4}\\
 x_{8}   &  2.68845884729 & +  0.02 x_{27} & -0.20 x_{15} & +  0.05 x_{25} & -0.02 x_{20} & -0.32 x_{3} & -0.01 x_{24} & -0.03 x_{30} & -0.04 x_{28} & +  0.68 x_{11} & -0.73 x_{5} & +  0.00 x_{29} & -0.92 x_{6} & -0.01 x_{23} & +  0.01 x_{22} & +  0.46 x_{4}\\
 x_{12}   &  1.50700600203 & +  0.02 x_{27} & +  0.79 x_{15} & -0.06 x_{25} & +  0.02 x_{20} & +  1.99 x_{3} & +  0.01 x_{24} & +  0.02 x_{30} & -0.01 x_{28} & -0.24 x_{11} & +  0.59 x_{5} & -0.10 x_{29} & -0.06 x_{6} & -0.07 x_{23} & +  0.10 x_{22} & -0.26 x_{4}\\
 x_{9}   &  5.93192231646 & -0.00 x_{27} & +  0.14 x_{15} & -0.06 x_{25} & -0.03 x_{20} & +  1.61 x_{3} & +  0.05 x_{24} & +  0.03 x_{30} & +  0.02 x_{28} & +  0.29 x_{11} & +  0.99 x_{5} & -0.04 x_{29} & -0.64 x_{6} & -0.06 x_{23} & +  0.08 x_{22} & -0.75 x_{4}\\
\hline
z    &  22.5678351298 & +  0.17 x_{27} & -6.14 x_{15} & +  0.02 x_{25} & -0.30 x_{20} & -10.39 x_{3} & -0.65 x_{24} & -0.14 x_{30} & -0.13 x_{28} & -0.60 x_{11} & -6.34 x_{5} & +  0.18 x_{29} & -2.48 x_{6} & -0.02 x_{23} & -0.50 x_{22} & -10.79 x_{4}\\
\end{array}\]


 $ x_{25} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  34.656092078 & -0.76 x_{27} & -6.82 x_{15} & -28.47 x_{1} & +  0.59 x_{20} & + 11.89 x_{3} & -0.16 x_{24} & -0.14 x_{30} & +  1.10 x_{28} & -4.54 x_{11} & + 16.53 x_{5} & -0.17 x_{29} & +  2.50 x_{6} & -0.20 x_{23} & +  0.20 x_{22} & -16.37 x_{4}\\
 x_{17}   &  13.8929216714 & +  0.90 x_{27} & -2.91 x_{15} & + 21.35 x_{1} & +  0.35 x_{20} & +  8.85 x_{3} & -0.30 x_{24} & +  0.41 x_{30} & -1.21 x_{28} & -15.46 x_{11} & -9.58 x_{5} & -0.39 x_{29} & -8.32 x_{6} & +  0.46 x_{23} & +  0.41 x_{22} & + 21.98 x_{4}\\
 x_{7}   &  3.22636996867 & +  0.04 x_{27} & -0.23 x_{15} & +  0.48 x_{1} & -0.03 x_{20} & -1.42 x_{3} & -0.09 x_{24} & -0.01 x_{30} & -0.02 x_{28} & +  0.13 x_{11} & -0.81 x_{5} & +  0.09 x_{29} & -0.13 x_{6} & +  0.03 x_{23} & -0.10 x_{22} & -0.85 x_{4}\\
 x_{18}   &  12.0384807644 & +  0.31 x_{27} & +  0.41 x_{15} & + 16.68 x_{1} & -0.69 x_{20} & -18.26 x_{3} & -0.55 x_{24} & -0.50 x_{30} & -0.19 x_{28} & -3.69 x_{11} & -13.55 x_{5} & +  1.37 x_{29} & +  3.73 x_{6} & +  0.93 x_{23} & -1.69 x_{22} & -10.75 x_{4}\\
 x_{25}   &  9.65171654863 & -2.51 x_{27} & -11.44 x_{15} & -36.48 x_{1} & +  0.07 x_{20} & +  8.01 x_{3} & +  0.98 x_{24} & +  0.49 x_{30} & +  1.91 x_{28} & +  7.53 x_{11} & + 46.35 x_{5} & +  0.05 x_{29} & + 18.66 x_{6} & -0.90 x_{23} & +  0.31 x_{22} & -33.06 x_{4}\\
 x_{14}   &  0.351361528206 & -0.00 x_{27} & +  0.24 x_{15} & +  0.30 x_{1} & +  0.04 x_{20} & +  0.58 x_{3} & +  0.01 x_{24} & +  0.04 x_{30} & -0.01 x_{28} & +  0.02 x_{11} & +  0.47 x_{5} & -0.03 x_{29} & +  0.13 x_{6} & -0.04 x_{23} & +  0.04 x_{22} & +  0.08 x_{4}\\
 x_{2}   &  1.10254225082 & -0.01 x_{27} & +  0.34 x_{15} & -0.82 x_{1} & +  0.03 x_{20} & -0.09 x_{3} & -0.03 x_{24} & -0.02 x_{30} & +  0.06 x_{28} & +  0.19 x_{11} & +  0.01 x_{5} & +  0.04 x_{29} & +  0.34 x_{6} & -0.00 x_{23} & -0.03 x_{22} & -0.51 x_{4}\\
 x_{19}   &  23.1553634142 & -2.54 x_{27} & -23.35 x_{15} & -47.09 x_{1} & +  0.09 x_{20} & -15.58 x_{3} & -0.42 x_{24} & +  0.39 x_{30} & +  1.87 x_{28} & + 17.99 x_{11} & + 28.65 x_{5} & +  1.51 x_{29} & + 22.52 x_{6} & -0.09 x_{23} & -1.32 x_{22} & -37.10 x_{4}\\
 x_{13}   &  0.0656485188237 & +  0.03 x_{27} & +  0.54 x_{15} & +  0.14 x_{1} & +  0.01 x_{20} & +  0.53 x_{3} & +  0.06 x_{24} & -0.02 x_{30} & -0.01 x_{28} & -0.25 x_{11} & +  0.31 x_{5} & -0.03 x_{29} & -0.65 x_{6} & -0.03 x_{23} & +  0.01 x_{22} & +  0.66 x_{4}\\
 x_{10}   &  2.23640599869 & -0.03 x_{27} & -0.27 x_{15} & -1.25 x_{1} & -0.00 x_{20} & -0.00 x_{3} & -0.02 x_{24} & +  0.01 x_{30} & +  0.06 x_{28} & +  0.08 x_{11} & +  1.13 x_{5} & +  0.00 x_{29} & +  0.22 x_{6} & -0.05 x_{23} & -0.04 x_{22} & -1.22 x_{4}\\
 x_{26}   &  23.4884428451 & -0.22 x_{27} & +  7.42 x_{15} & -13.92 x_{1} & -0.08 x_{20} & -2.69 x_{3} & +  0.11 x_{24} & -0.02 x_{30} & +  1.04 x_{28} & +  2.70 x_{11} & +  7.00 x_{5} & +  0.45 x_{29} & -1.29 x_{6} & -0.26 x_{23} & -0.45 x_{22} & -9.20 x_{4}\\
 x_{21}   &  15.9263675622 & -0.56 x_{27} & -12.63 x_{15} & -15.16 x_{1} & -0.11 x_{20} & -3.92 x_{3} & -0.27 x_{24} & -0.07 x_{30} & +  1.20 x_{28} & +  9.93 x_{11} & + 21.08 x_{5} & +  1.65 x_{29} & +  2.36 x_{6} & -0.67 x_{23} & -1.54 x_{22} & -18.72 x_{4}\\
 x_{8}   &  3.16391585249 & -0.10 x_{27} & -0.77 x_{15} & -1.80 x_{1} & -0.02 x_{20} & +  0.07 x_{3} & +  0.04 x_{24} & -0.00 x_{30} & +  0.06 x_{28} & +  1.05 x_{11} & +  1.56 x_{5} & +  0.01 x_{29} & -0.00 x_{6} & -0.05 x_{23} & +  0.03 x_{22} & -1.17 x_{4}\\
 x_{12}   &  0.910956750327 & +  0.17 x_{27} & +  1.50 x_{15} & +  2.25 x_{1} & +  0.02 x_{20} & +  1.49 x_{3} & -0.05 x_{24} & -0.01 x_{30} & -0.13 x_{28} & -0.70 x_{11} & -2.27 x_{5} & -0.11 x_{29} & -1.21 x_{6} & -0.01 x_{23} & +  0.08 x_{22} & +  1.78 x_{4}\\
 x_{9}   &  5.31255086728 & +  0.16 x_{27} & +  0.87 x_{15} & +  2.34 x_{1} & -0.04 x_{20} & +  1.09 x_{3} & -0.02 x_{24} & -0.00 x_{30} & -0.11 x_{28} & -0.19 x_{11} & -1.99 x_{5} & -0.04 x_{29} & -1.84 x_{6} & -0.00 x_{23} & +  0.06 x_{22} & +  1.38 x_{4}\\
\hline
z    &  22.7435767594 & +  0.12 x_{27} & -6.35 x_{15} & -0.66 x_{1} & -0.30 x_{20} & -10.25 x_{3} & -0.64 x_{24} & -0.13 x_{30} & -0.10 x_{28} & -0.46 x_{11} & -5.49 x_{5} & +  0.18 x_{29} & -2.14 x_{6} & -0.04 x_{23} & -0.49 x_{22} & -11.39 x_{4}\\
\end{array}\]


 $ x_{27} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  31.7242067196 & +  0.30 x_{25} & -3.34 x_{15} & -17.39 x_{1} & +  0.56 x_{20} & +  9.46 x_{3} & -0.45 x_{24} & -0.29 x_{30} & +  0.52 x_{28} & -6.83 x_{11} & +  2.45 x_{5} & -0.18 x_{29} & -3.17 x_{6} & +  0.07 x_{23} & +  0.11 x_{22} & -6.32 x_{4}\\
 x_{17}   &  17.3432758569 & -0.36 x_{25} & -6.99 x_{15} & +  8.30 x_{1} & +  0.38 x_{20} & + 11.71 x_{3} & +  0.05 x_{24} & +  0.58 x_{30} & -0.53 x_{28} & -12.77 x_{11} & +  6.99 x_{5} & -0.37 x_{29} & -1.65 x_{6} & +  0.14 x_{23} & +  0.52 x_{22} & + 10.17 x_{4}\\
 x_{7}   &  3.36989373793 & -0.01 x_{25} & -0.40 x_{15} & -0.06 x_{1} & -0.03 x_{20} & -1.30 x_{3} & -0.08 x_{24} & -0.01 x_{30} & +  0.00 x_{28} & +  0.24 x_{11} & -0.12 x_{5} & +  0.09 x_{29} & +  0.15 x_{6} & +  0.01 x_{23} & -0.10 x_{22} & -1.34 x_{4}\\
 x_{18}   &  13.2188834058 & -0.12 x_{25} & -0.99 x_{15} & + 12.22 x_{1} & -0.69 x_{20} & -17.28 x_{3} & -0.43 x_{24} & -0.44 x_{30} & +  0.04 x_{28} & -2.76 x_{11} & -7.88 x_{5} & +  1.38 x_{29} & +  6.01 x_{6} & +  0.82 x_{23} & -1.65 x_{22} & -14.79 x_{4}\\
 x_{27}   &  3.85085621743 & -0.40 x_{25} & -4.56 x_{15} & -14.55 x_{1} & +  0.03 x_{20} & +  3.19 x_{3} & +  0.39 x_{24} & +  0.20 x_{30} & +  0.76 x_{28} & +  3.00 x_{11} & + 18.49 x_{5} & +  0.02 x_{29} & +  7.44 x_{6} & -0.36 x_{23} & +  0.12 x_{22} & -13.19 x_{4}\\
 x_{14}   &  0.349987670231 & +  0.00 x_{25} & +  0.24 x_{15} & +  0.31 x_{1} & +  0.04 x_{20} & +  0.58 x_{3} & +  0.01 x_{24} & +  0.04 x_{30} & -0.01 x_{28} & +  0.02 x_{11} & +  0.46 x_{5} & -0.03 x_{29} & +  0.12 x_{6} & -0.04 x_{23} & +  0.04 x_{22} & +  0.08 x_{4}\\
 x_{2}   &  1.04995909677 & +  0.01 x_{25} & +  0.40 x_{15} & -0.62 x_{1} & +  0.03 x_{20} & -0.13 x_{3} & -0.04 x_{24} & -0.02 x_{30} & +  0.05 x_{28} & +  0.15 x_{11} & -0.24 x_{5} & +  0.04 x_{29} & +  0.24 x_{6} & +  0.00 x_{23} & -0.03 x_{22} & -0.33 x_{4}\\
 x_{19}   &  13.3909250734 & +  1.01 x_{25} & -11.78 x_{15} & -10.19 x_{1} & +  0.02 x_{20} & -23.68 x_{3} & -1.41 x_{24} & -0.11 x_{30} & -0.06 x_{28} & + 10.38 x_{11} & -18.24 x_{5} & +  1.46 x_{29} & +  3.64 x_{6} & +  0.81 x_{23} & -1.63 x_{22} & -3.66 x_{4}\\
 x_{13}   &  0.177445790104 & -0.01 x_{25} & +  0.40 x_{15} & -0.29 x_{1} & +  0.01 x_{20} & +  0.63 x_{3} & +  0.07 x_{24} & -0.01 x_{30} & +  0.01 x_{28} & -0.16 x_{11} & +  0.85 x_{5} & -0.03 x_{29} & -0.43 x_{6} & -0.04 x_{23} & +  0.01 x_{22} & +  0.28 x_{4}\\
 x_{10}   &  2.1366749573 & +  0.01 x_{25} & -0.16 x_{15} & -0.87 x_{1} & -0.00 x_{20} & -0.09 x_{3} & -0.03 x_{24} & +  0.01 x_{30} & +  0.04 x_{28} & -0.00 x_{11} & +  0.65 x_{5} & +  0.00 x_{29} & +  0.03 x_{6} & -0.04 x_{23} & -0.05 x_{22} & -0.88 x_{4}\\
 x_{26}   &  22.6529307677 & +  0.09 x_{25} & +  8.41 x_{15} & -10.76 x_{1} & -0.09 x_{20} & -3.38 x_{3} & +  0.03 x_{24} & -0.06 x_{30} & +  0.88 x_{28} & +  2.05 x_{11} & +  2.98 x_{5} & +  0.45 x_{29} & -2.90 x_{6} & -0.18 x_{23} & -0.47 x_{22} & -6.34 x_{4}\\
 x_{21}   &  13.7559604265 & +  0.22 x_{25} & -10.05 x_{15} & -6.96 x_{1} & -0.12 x_{20} & -5.72 x_{3} & -0.49 x_{24} & -0.18 x_{30} & +  0.77 x_{28} & +  8.23 x_{11} & + 10.65 x_{5} & +  1.64 x_{29} & -1.83 x_{6} & -0.47 x_{23} & -1.61 x_{22} & -11.29 x_{4}\\
 x_{8}   &  2.7637147329 & +  0.04 x_{25} & -0.29 x_{15} & -0.28 x_{1} & -0.02 x_{20} & -0.26 x_{3} & -0.00 x_{24} & -0.02 x_{30} & -0.02 x_{28} & +  0.74 x_{11} & -0.37 x_{5} & +  0.00 x_{29} & -0.77 x_{6} & -0.01 x_{23} & +  0.02 x_{22} & +  0.20 x_{4}\\
 x_{12}   &  1.56778361305 & -0.07 x_{25} & +  0.72 x_{15} & -0.23 x_{1} & +  0.02 x_{20} & +  2.04 x_{3} & +  0.02 x_{24} & +  0.02 x_{30} & +  0.00 x_{28} & -0.19 x_{11} & +  0.89 x_{5} & -0.10 x_{29} & +  0.06 x_{6} & -0.07 x_{23} & +  0.10 x_{22} & -0.47 x_{4}\\
 x_{9}   &  5.91822747533 & -0.06 x_{25} & +  0.15 x_{15} & +  0.05 x_{1} & -0.03 x_{20} & +  1.60 x_{3} & +  0.04 x_{24} & +  0.03 x_{30} & +  0.01 x_{28} & +  0.28 x_{11} & +  0.92 x_{5} & -0.04 x_{29} & -0.67 x_{6} & -0.06 x_{23} & +  0.08 x_{22} & -0.70 x_{4}\\
\hline
z    &  23.2172726677 & -0.05 x_{25} & -6.91 x_{15} & -2.45 x_{1} & -0.30 x_{20} & -9.85 x_{3} & -0.59 x_{24} & -0.11 x_{30} & -0.01 x_{28} & -0.09 x_{11} & -3.22 x_{5} & +  0.18 x_{29} & -1.22 x_{6} & -0.08 x_{23} & -0.48 x_{22} & -13.02 x_{4}\\
\end{array}\]


 $ x_{29} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  30.6934641044 & +  0.37 x_{25} & -5.69 x_{15} & -15.72 x_{1} & +  0.52 x_{20} & +  5.82 x_{3} & -0.85 x_{24} & -0.21 x_{30} & +  0.45 x_{28} & -5.88 x_{11} & -2.50 x_{5} & +  5.81 x_{13} & -0.67 x_{6} & +  0.30 x_{23} & +  0.05 x_{22} & -7.93 x_{4}\\
 x_{17}   &  15.2492050829 & -0.22 x_{25} & -11.76 x_{15} & + 11.69 x_{1} & +  0.30 x_{20} & +  4.32 x_{3} & -0.76 x_{24} & +  0.74 x_{30} & -0.67 x_{28} & -10.84 x_{11} & -3.05 x_{5} & + 11.80 x_{13} & +  3.42 x_{6} & +  0.61 x_{23} & +  0.40 x_{22} & +  6.89 x_{4}\\
 x_{7}   &  3.89946761756 & -0.05 x_{25} & +  0.81 x_{15} & -0.92 x_{1} & -0.01 x_{20} & +  0.57 x_{3} & +  0.13 x_{24} & -0.05 x_{30} & +  0.04 x_{28} & -0.24 x_{11} & +  2.42 x_{5} & -2.98 x_{13} & -1.13 x_{6} & -0.11 x_{23} & -0.07 x_{22} & -0.52 x_{4}\\
 x_{18}   &  20.9940849561 & -0.63 x_{25} & + 16.72 x_{15} & -0.36 x_{1} & -0.39 x_{20} & + 10.16 x_{3} & +  2.56 x_{24} & -1.01 x_{30} & +  0.56 x_{28} & -9.92 x_{11} & + 29.40 x_{5} & -43.82 x_{13} & -12.80 x_{6} & -0.93 x_{23} & -1.22 x_{22} & -2.63 x_{4}\\
 x_{27}   &  3.96257029932 & -0.41 x_{25} & -4.31 x_{15} & -14.73 x_{1} & +  0.03 x_{20} & +  3.59 x_{3} & +  0.43 x_{24} & +  0.19 x_{30} & +  0.77 x_{28} & +  2.90 x_{11} & + 19.03 x_{5} & -0.63 x_{13} & +  7.17 x_{6} & -0.38 x_{23} & +  0.13 x_{22} & -13.02 x_{4}\\
 x_{14}   &  0.20565614201 & +  0.01 x_{25} & -0.09 x_{15} & +  0.54 x_{1} & +  0.03 x_{20} & +  0.07 x_{3} & -0.04 x_{24} & +  0.05 x_{30} & -0.02 x_{28} & +  0.16 x_{11} & -0.23 x_{5} & +  0.81 x_{13} & +  0.47 x_{6} & -0.01 x_{23} & +  0.03 x_{22} & -0.15 x_{4}\\
 x_{2}   &  1.29069111893 & -0.01 x_{25} & +  0.95 x_{15} & -1.01 x_{1} & +  0.04 x_{20} & +  0.72 x_{3} & +  0.05 x_{24} & -0.04 x_{30} & +  0.07 x_{28} & -0.08 x_{11} & +  0.91 x_{5} & -1.36 x_{13} & -0.35 x_{6} & -0.05 x_{23} & -0.01 x_{22} & +  0.05 x_{4}\\
 x_{19}   &  21.6596447839 & +  0.47 x_{25} & +  7.05 x_{15} & -23.57 x_{1} & +  0.34 x_{20} & +  5.51 x_{3} & +  1.78 x_{24} & -0.71 x_{30} & +  0.49 x_{28} & +  2.76 x_{11} & + 21.42 x_{5} & -46.60 x_{13} & -16.36 x_{6} & -1.05 x_{23} & -1.17 x_{22} & +  9.28 x_{4}\\
 x_{29}   &  5.64501274327 & -0.37 x_{25} & + 12.86 x_{15} & -9.13 x_{1} & +  0.22 x_{20} & + 19.92 x_{3} & +  2.17 x_{24} & -0.41 x_{30} & +  0.37 x_{28} & -5.20 x_{11} & + 27.07 x_{5} & -31.81 x_{13} & -13.65 x_{6} & -1.27 x_{23} & +  0.32 x_{22} & +  8.83 x_{4}\\
 x_{10}   &  2.14305473837 & +  0.01 x_{25} & -0.14 x_{15} & -0.88 x_{1} & -0.00 x_{20} & -0.07 x_{3} & -0.02 x_{24} & +  0.01 x_{30} & +  0.04 x_{28} & -0.01 x_{11} & +  0.68 x_{5} & -0.04 x_{13} & +  0.01 x_{6} & -0.04 x_{23} & -0.05 x_{22} & -0.87 x_{4}\\
 x_{26}   &  25.1936167293 & -0.08 x_{25} & + 14.20 x_{15} & -14.88 x_{1} & +  0.01 x_{20} & +  5.59 x_{3} & +  1.01 x_{24} & -0.24 x_{30} & +  1.04 x_{28} & -0.29 x_{11} & + 15.17 x_{5} & -14.32 x_{13} & -9.05 x_{6} & -0.75 x_{23} & -0.33 x_{22} & -2.36 x_{4}\\
 x_{21}   &  22.9996877222 & -0.38 x_{25} & + 11.00 x_{15} & -21.92 x_{1} & +  0.23 x_{20} & + 26.90 x_{3} & +  3.07 x_{24} & -0.85 x_{30} & +  1.39 x_{28} & -0.28 x_{11} & + 54.98 x_{5} & -52.09 x_{13} & -24.19 x_{6} & -2.55 x_{23} & -1.09 x_{22} & +  3.17 x_{4}\\
 x_{8}   &  2.7894623322 & +  0.04 x_{25} & -0.23 x_{15} & -0.33 x_{1} & -0.02 x_{20} & -0.17 x_{3} & +  0.01 x_{24} & -0.03 x_{30} & -0.02 x_{28} & +  0.72 x_{11} & -0.24 x_{5} & -0.15 x_{13} & -0.84 x_{6} & -0.02 x_{23} & +  0.02 x_{22} & +  0.24 x_{4}\\
 x_{12}   &  0.980227341692 & -0.03 x_{25} & -0.62 x_{15} & +  0.72 x_{1} & -0.00 x_{20} & -0.04 x_{3} & -0.21 x_{24} & +  0.06 x_{30} & -0.04 x_{28} & +  0.35 x_{11} & -1.93 x_{5} & +  3.31 x_{13} & +  1.48 x_{6} & +  0.06 x_{23} & +  0.07 x_{22} & -1.39 x_{4}\\
 x_{9}   &  5.70897300193 & -0.05 x_{25} & -0.32 x_{15} & +  0.39 x_{1} & -0.04 x_{20} & +  0.86 x_{3} & -0.04 x_{24} & +  0.05 x_{30} & -0.00 x_{28} & +  0.47 x_{11} & -0.08 x_{5} & +  1.18 x_{13} & -0.16 x_{6} & -0.01 x_{23} & +  0.07 x_{22} & -1.03 x_{4}\\
\hline
z    &  24.2462094759 & -0.12 x_{25} & -4.57 x_{15} & -4.12 x_{1} & -0.26 x_{20} & -6.22 x_{3} & -0.19 x_{24} & -0.19 x_{30} & +  0.06 x_{28} & -1.04 x_{11} & +  1.72 x_{5} & -5.80 x_{13} & -3.71 x_{6} & -0.32 x_{23} & -0.42 x_{22} & -11.41 x_{4}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  29.42717892 & +  0.41 x_{25} & -4.89 x_{15} & -16.65 x_{1} & +  0.52 x_{20} & +  5.87 x_{3} & -0.58 x_{24} & -0.30 x_{30} & +  0.50 x_{28} & -6.33 x_{11} & +  1.29 x_{12} & +  1.53 x_{13} & -2.59 x_{6} & +  0.23 x_{23} & -0.04 x_{22} & -6.14 x_{4}\\
 x_{17}   &  13.7001165542 & -0.17 x_{25} & -10.78 x_{15} & + 10.55 x_{1} & +  0.30 x_{20} & +  4.38 x_{3} & -0.43 x_{24} & +  0.64 x_{30} & -0.62 x_{28} & -11.39 x_{11} & +  1.58 x_{12} & +  6.57 x_{13} & +  1.08 x_{6} & +  0.52 x_{23} & +  0.29 x_{22} & +  9.09 x_{4}\\
 x_{7}   &  5.12884479396 & -0.09 x_{25} & +  0.03 x_{15} & -0.01 x_{1} & -0.01 x_{20} & +  0.52 x_{3} & -0.14 x_{24} & +  0.03 x_{30} & -0.00 x_{28} & +  0.20 x_{11} & -1.25 x_{12} & +  1.17 x_{13} & +  0.73 x_{6} & -0.03 x_{23} & +  0.02 x_{22} & -2.26 x_{4}\\
 x_{18}   &  35.9128716638 & -1.08 x_{25} & +  7.27 x_{15} & + 10.61 x_{1} & -0.39 x_{20} & +  9.58 x_{3} & -0.63 x_{24} & -0.04 x_{30} & +  0.02 x_{28} & -4.61 x_{11} & -15.22 x_{12} & +  6.58 x_{13} & +  9.76 x_{6} & -0.03 x_{23} & -0.17 x_{22} & -23.79 x_{4}\\
 x_{27}   &  13.6169040149 & -0.70 x_{25} & -10.42 x_{15} & -7.63 x_{1} & +  0.03 x_{20} & +  3.21 x_{3} & -1.63 x_{24} & +  0.82 x_{30} & +  0.42 x_{28} & +  6.34 x_{11} & -9.85 x_{12} & + 31.98 x_{13} & + 21.77 x_{6} & +  0.20 x_{23} & +  0.81 x_{22} & -26.71 x_{4}\\
 x_{14}   &  0.0888206572701 & +  0.01 x_{25} & -0.02 x_{15} & +  0.46 x_{1} & +  0.03 x_{20} & +  0.07 x_{3} & -0.02 x_{24} & +  0.04 x_{30} & -0.02 x_{28} & +  0.11 x_{11} & +  0.12 x_{12} & +  0.42 x_{13} & +  0.29 x_{6} & -0.01 x_{23} & +  0.02 x_{22} & +  0.02 x_{4}\\
 x_{2}   &  1.75336381143 & -0.02 x_{25} & +  0.66 x_{15} & -0.67 x_{1} & +  0.04 x_{20} & +  0.70 x_{3} & -0.04 x_{24} & -0.01 x_{30} & +  0.05 x_{28} & +  0.09 x_{11} & -0.47 x_{12} & +  0.21 x_{13} & +  0.35 x_{6} & -0.02 x_{23} & +  0.02 x_{22} & -0.61 x_{4}\\
 x_{19}   &  32.5259852599 & +  0.14 x_{25} & +  0.17 x_{15} & -15.57 x_{1} & +  0.33 x_{20} & +  5.08 x_{3} & -0.55 x_{24} & -0.00 x_{30} & +  0.10 x_{28} & +  6.63 x_{11} & -11.09 x_{12} & -9.89 x_{13} & +  0.07 x_{6} & -0.40 x_{23} & -0.40 x_{22} & -6.14 x_{4}\\
 x_{29}   &  19.3800645202 & -0.78 x_{25} & +  4.16 x_{15} & +  0.97 x_{1} & +  0.21 x_{20} & + 19.39 x_{3} & -0.77 x_{24} & +  0.48 x_{30} & -0.12 x_{28} & -0.31 x_{11} & -14.01 x_{12} & + 14.58 x_{13} & +  7.12 x_{6} & -0.45 x_{23} & +  1.28 x_{22} & -10.65 x_{4}\\
 x_{10}   &  2.48658334347 & -0.00 x_{25} & -0.36 x_{15} & -0.63 x_{1} & -0.00 x_{20} & -0.08 x_{3} & -0.10 x_{24} & +  0.03 x_{30} & +  0.03 x_{28} & +  0.11 x_{11} & -0.35 x_{12} & +  1.12 x_{13} & +  0.53 x_{6} & -0.02 x_{23} & -0.02 x_{22} & -1.35 x_{4}\\
 x_{26}   &  32.8889709831 & -0.31 x_{25} & +  9.33 x_{15} & -9.22 x_{1} & +  0.00 x_{20} & +  5.29 x_{3} & -0.64 x_{24} & +  0.26 x_{30} & +  0.77 x_{28} & +  2.45 x_{11} & -7.85 x_{12} & + 11.68 x_{13} & +  2.59 x_{6} & -0.29 x_{23} & +  0.21 x_{22} & -13.28 x_{4}\\
 x_{21}   &  50.8954212799 & -1.22 x_{25} & -6.66 x_{15} & -1.40 x_{1} & +  0.22 x_{20} & + 25.82 x_{3} & -2.90 x_{24} & +  0.97 x_{30} & +  0.39 x_{28} & +  9.66 x_{11} & -28.46 x_{12} & + 42.14 x_{13} & + 17.99 x_{6} & -0.88 x_{23} & +  0.87 x_{22} & -36.40 x_{4}\\
 x_{8}   &  2.66685558173 & +  0.04 x_{25} & -0.16 x_{15} & -0.42 x_{1} & -0.02 x_{20} & -0.17 x_{3} & +  0.04 x_{24} & -0.03 x_{30} & -0.01 x_{28} & +  0.67 x_{11} & +  0.13 x_{12} & -0.56 x_{13} & -1.02 x_{6} & -0.03 x_{23} & +  0.01 x_{22} & +  0.41 x_{4}\\
 x_{5}   &  0.507356995646 & -0.02 x_{25} & -0.32 x_{15} & +  0.37 x_{1} & -0.00 x_{20} & -0.02 x_{3} & -0.11 x_{24} & +  0.03 x_{30} & -0.02 x_{28} & +  0.18 x_{11} & -0.52 x_{12} & +  1.71 x_{13} & +  0.77 x_{6} & +  0.03 x_{23} & +  0.04 x_{22} & -0.72 x_{4}\\
 x_{9}   &  5.66824213868 & -0.05 x_{25} & -0.30 x_{15} & +  0.36 x_{1} & -0.04 x_{20} & +  0.86 x_{3} & -0.03 x_{24} & +  0.04 x_{30} & +  0.00 x_{28} & +  0.46 x_{11} & +  0.04 x_{12} & +  1.04 x_{13} & -0.22 x_{6} & -0.02 x_{23} & +  0.06 x_{22} & -0.97 x_{4}\\
\hline
z    &  25.1171947612 & -0.14 x_{25} & -5.12 x_{15} & -3.48 x_{1} & -0.26 x_{20} & -6.26 x_{3} & -0.38 x_{24} & -0.13 x_{30} & +  0.03 x_{28} & -0.73 x_{11} & -0.89 x_{12} & -2.86 x_{13} & -2.39 x_{6} & -0.26 x_{23} & -0.36 x_{22} & -12.64 x_{4}\\
\end{array}\]


 $ x_{28} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  31.6230903823 & +  0.73 x_{25} & -5.29 x_{15} & -5.39 x_{1} & +  1.37 x_{20} & +  7.66 x_{3} & -1.02 x_{24} & +  0.77 x_{30} & -24.72 x_{14} & -3.49 x_{11} & +  4.24 x_{12} & + 11.88 x_{13} & +  4.70 x_{6} & -0.13 x_{23} & +  0.49 x_{22} & -5.64 x_{4}\\
 x_{17}   &  10.9875876371 & -0.57 x_{25} & -10.29 x_{15} & -3.36 x_{1} & -0.74 x_{20} & +  2.18 x_{3} & +  0.12 x_{24} & -0.69 x_{30} & + 30.54 x_{14} & -14.91 x_{11} & -2.06 x_{12} & -6.22 x_{13} & -7.93 x_{6} & +  0.96 x_{23} & -0.36 x_{22} & +  8.47 x_{4}\\
 x_{7}   &  5.10757949785 & -0.09 x_{25} & +  0.03 x_{15} & -0.12 x_{1} & -0.02 x_{20} & +  0.50 x_{3} & -0.13 x_{24} & +  0.02 x_{30} & +  0.24 x_{14} & +  0.17 x_{11} & -1.28 x_{12} & +  1.07 x_{13} & +  0.66 x_{6} & -0.03 x_{23} & +  0.01 x_{22} & -2.26 x_{4}\\
 x_{18}   &  36.0127255049 & -1.07 x_{25} & +  7.26 x_{15} & + 11.13 x_{1} & -0.35 x_{20} & +  9.66 x_{3} & -0.65 x_{24} & +  0.01 x_{30} & -1.12 x_{14} & -4.48 x_{11} & -15.09 x_{12} & +  7.05 x_{13} & + 10.09 x_{6} & -0.05 x_{23} & -0.14 x_{22} & -23.77 x_{4}\\
 x_{27}   &  15.4740153086 & -0.42 x_{25} & -10.76 x_{15} & +  1.89 x_{1} & +  0.74 x_{20} & +  4.72 x_{3} & -2.00 x_{24} & +  1.72 x_{30} & -20.91 x_{14} & +  8.74 x_{11} & -7.36 x_{12} & + 40.74 x_{13} & + 27.94 x_{6} & -0.11 x_{23} & +  1.25 x_{22} & -26.29 x_{4}\\
 x_{28}   &  4.40307342144 & +  0.65 x_{25} & -0.81 x_{15} & + 22.58 x_{1} & +  1.69 x_{20} & +  3.57 x_{3} & -0.88 x_{24} & +  2.15 x_{30} & -49.57 x_{14} & +  5.70 x_{11} & +  5.91 x_{12} & + 20.76 x_{13} & + 14.62 x_{6} & -0.72 x_{23} & +  1.06 x_{22} & +  1.01 x_{4}\\
 x_{2}   &  1.97539337699 & +  0.01 x_{25} & +  0.62 x_{15} & +  0.47 x_{1} & +  0.12 x_{20} & +  0.88 x_{3} & -0.09 x_{24} & +  0.10 x_{30} & -2.50 x_{14} & +  0.38 x_{11} & -0.17 x_{12} & +  1.25 x_{13} & +  1.09 x_{6} & -0.06 x_{23} & +  0.07 x_{22} & -0.56 x_{4}\\
 x_{19}   &  32.9827881576 & +  0.21 x_{25} & +  0.09 x_{15} & -13.23 x_{1} & +  0.51 x_{20} & +  5.45 x_{3} & -0.64 x_{24} & +  0.22 x_{30} & -5.14 x_{14} & +  7.22 x_{11} & -10.47 x_{12} & -7.74 x_{13} & +  1.59 x_{6} & -0.47 x_{23} & -0.29 x_{22} & -6.03 x_{4}\\
 x_{29}   &  18.8604605258 & -0.86 x_{25} & +  4.26 x_{15} & -1.70 x_{1} & +  0.01 x_{20} & + 18.97 x_{3} & -0.66 x_{24} & +  0.23 x_{30} & +  5.85 x_{14} & -0.98 x_{11} & -14.71 x_{12} & + 12.13 x_{13} & +  5.39 x_{6} & -0.36 x_{23} & +  1.16 x_{22} & -10.77 x_{4}\\
 x_{10}   &  2.61129821107 & +  0.02 x_{25} & -0.38 x_{15} & +  0.01 x_{1} & +  0.05 x_{20} & +  0.02 x_{3} & -0.12 x_{24} & +  0.09 x_{30} & -1.40 x_{14} & +  0.28 x_{11} & -0.18 x_{12} & +  1.71 x_{13} & +  0.95 x_{6} & -0.04 x_{23} & +  0.01 x_{22} & -1.33 x_{4}\\
 x_{26}   &  36.2745268145 & +  0.19 x_{25} & +  8.71 x_{15} & +  8.14 x_{1} & +  1.30 x_{20} & +  8.04 x_{3} & -1.32 x_{24} & +  1.91 x_{30} & -38.12 x_{14} & +  6.83 x_{11} & -3.31 x_{12} & + 27.64 x_{13} & + 13.83 x_{6} & -0.84 x_{23} & +  1.02 x_{22} & -12.50 x_{4}\\
 x_{21}   &  52.6022682688 & -0.97 x_{25} & -6.97 x_{15} & +  7.35 x_{1} & +  0.88 x_{20} & + 27.20 x_{3} & -3.24 x_{24} & +  1.80 x_{30} & -19.22 x_{14} & + 11.87 x_{11} & -26.17 x_{12} & + 50.18 x_{13} & + 23.66 x_{6} & -1.16 x_{23} & +  1.28 x_{22} & -36.01 x_{4}\\
 x_{8}   &  2.60422266466 & +  0.03 x_{25} & -0.15 x_{15} & -0.74 x_{1} & -0.04 x_{20} & -0.22 x_{3} & +  0.05 x_{24} & -0.06 x_{30} & +  0.71 x_{14} & +  0.59 x_{11} & +  0.04 x_{12} & -0.85 x_{13} & -1.23 x_{6} & -0.02 x_{23} & -0.01 x_{22} & +  0.40 x_{4}\\
 x_{5}   &  0.427293795403 & -0.03 x_{25} & -0.31 x_{15} & -0.04 x_{1} & -0.03 x_{20} & -0.08 x_{3} & -0.09 x_{24} & -0.01 x_{30} & +  0.90 x_{14} & +  0.08 x_{11} & -0.63 x_{12} & +  1.34 x_{13} & +  0.50 x_{6} & +  0.04 x_{23} & +  0.02 x_{22} & -0.74 x_{4}\\
 x_{9}   &  5.66836681231 & -0.05 x_{25} & -0.30 x_{15} & +  0.36 x_{1} & -0.04 x_{20} & +  0.86 x_{3} & -0.03 x_{24} & +  0.04 x_{30} & -0.00 x_{14} & +  0.46 x_{11} & +  0.04 x_{12} & +  1.04 x_{13} & -0.22 x_{6} & -0.02 x_{23} & +  0.06 x_{22} & -0.97 x_{4}\\
\hline
z    &  25.2509631857 & -0.12 x_{25} & -5.14 x_{15} & -2.79 x_{1} & -0.21 x_{20} & -6.15 x_{3} & -0.41 x_{24} & -0.06 x_{30} & -1.51 x_{14} & -0.56 x_{11} & -0.71 x_{12} & -2.23 x_{13} & -1.95 x_{6} & -0.29 x_{23} & -0.33 x_{22} & -12.61 x_{4}\\
\end{array}\]
Final Dictionary
Solution:  25.2509631857
Num Pivots:  30
\end{document}
